The equation p + 6p – 7 = 0 has solutions of the form N + VD p 3= (A) Use the quadratic formula to solve this equation and find the appropriate integer values of N,M and D. Do not worry about simplifying the Dyet in this part of the problem. D= (B) Now simplify the radical and the resulting solutions. Enter your answers as a list of integers or reduced fractions, separated with commas. Example: -5/2,-3/4

Q: Which shows the correct substitution of the values a, b, and c from the equation 0 = - -3x2-2x + 6…

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Q: The solution of the quadratic equation 5æ? + 5x + 1= 0 are -5 + V15 15 O -5± V15 10 O -5 + /15 20 O…

A: A detailed solution is given below

Q: ind the values of a,b and c for which the quadratic equation ax^2 +bd+c=0 has the solution-5 and 3.…

A: Given, The quadratic equation ax2+bx+c=0 has the solution -5 and 3. Since, -5 and 3 are the…

Q: " one root of the quadratic equation kx² - 6x + (2k – 3) = 0 is the reciprocal of the other root,…

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Q: 1. Find the quotient of x3 −5x2 −2x+ 24  by x−4, and then divide the quotient by x−3. What are the…

A: x-4x2-x-6x3-5x2-2x+24-x3∓4x2-x2-2x+24∓x2±4x-6x+24-6x+2400    ∴x3-5x-2x+24=x2-x-6 x-4 —∗…

Q: If -5 is a root of the quadratic equation 2x^2 +px-15=0o and the quadratic equation P(x^2 +x)+K=0…

A: GIVEN: 2x2 + px - 15 = 0              Root of this equation is -5

Q: 49 Find a quadratic equation with integer coefficients whose roots are the reciprocals of 4x2 - 23x…

A: We have to find a quadratic equation whose roots are reciprocal to roots of given equation- given…

Q: 9. The value of q will make the roots of quadratic equation 9x²-4qx+4=0 be equal are A.0 B. q-3,-3…

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Q: What is the solution of the quadratic equation 2x2 + 5x + 1 = 0? Solve by using the quadratic…

A: Given :Quardic equation : 2x2+5x+1=0

Q: The quadratic formula is used to solve for x in equations taking the form of a quadratic equation,…

A: Please see the answer below

Q: 4. Which of the following expressions shows how to use the quadratic formula to solve 2x2 - 3x-8 =…

A: Given: 2x2 -3x-8 = 0 To find: Which expression shows the quadratic formula to solve the given…

Q: (5) Find all integer solutions to the equation w² + 2x² = 7(y² + 2z²).

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Q: The discriminant of a quadratic equation is 34. Which of the following is true about its roots? A.…

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Q: The solutions of the quadratic equation 5x? + 2x +3 = 0 are 2+V-26 10 -2+V-41 10 O -2+ V-26 20 O…

A: The given equation is in the form of: ax²+bx+c=0

Q: When using the factoring method to solve a quadratic equation, what is the first step? O Put all…

A: We have to write the first step of the factoring method to solve a quadratic equation.

Q: The product of all of the solutions of (4x + 2k )(2- 5x)=0 is (-15). Find k.

A: 4x+2k2-5x=0solutions:4x+2k=0    or   2-5x=0x=-k2         or    x=25

Q: have a positive integer. If it is added to its square, the result is 42. What is my positive…

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Q: 3. Create your own quadratic equation, and explain how to use the quadratic formula to solve it. Be…

A: The standard form of quadratic equation is ax2+bx+c=0, where a not equal to zero. Quadratic formula…

Q: The quadratic formula is used to solve for x in equations taking the form of a quadratic equation,…

A: multiply both sides by 10 compare this equation with  so here we have

Q: In the process of solving 2x3+7x2+9x+10=0, you test 1, 2, 5, and 10 as possible zeros and determine…

A: Given 2x3+7x2+9x+10

Q: find the value of k if -5 is one of the roots of the quadratic equation x^2 - KX + 10 = 0​

A: We have to find the value of k if -5 is one of the roots of the quadratic equation x2 - kx + 10 = 0…

Q: Nathaniel is using the quadratic formula to solve 0 = x² + 5x - 6. His steps are shown below

A: Given quadratic equation x2-5x-6=0 Comparing the given equation with ax2+bx+c=0, we get a=1, b=-5…

Q: The solutions of the quadratic equation 4x2 +3r +2 0 are O-3+V-15 8. O 3+V-7 12 O -3+ V-23 8. O…

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Q: Use the quadratic formula ( x= -b+_ root b^2 -4ac/ 2a) to find the exact solutions to the equation…

A: Use the formula x= -b+_ root b^2 -4ac/ 2a to solve the quadratic equation.

Q: Show that for an AP with first term a, common difference d and sum S, the number of terms n, must…

A: Let a1, a2, a3 are the terms of an AP then if d is the common difference  S =a1+a2+a3+   ... anS…

Q: 12) Use the discriminant to determine the number and types of solutions for: 5x2 + 6x - 2 = 0…

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Q: Consider a quadratic equation x ^ 2 - 13x + 36 = 0 with coefficients in a base b. The solutions of…

A: Introduction :

Q: (a) . Let x E Z. List all possible remainders of 7x² when divided by 3. Justify your answer. (b) [ ]…

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Q: 11. If Samatha uses completing the square to solve the quadratic equation that has; a = one, b =…

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Q: The solution of the quadratic equation 5æ? + 5x + 4 = 0 are, -5 + v-55 10 O -5 + V-15 10 O -5± V-15…

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Q: Find the solutions by using the Quadratic Formula. 2 There's no work... X- 2x = 24

A: Solve the given problem using Quadratic Formula

Q: 5+3i is a solution of a quadratic equation with real coefficients, then blank is also a real…

A: If 5+3i is a solution of the quadratic equation with real coefficient then its complex conjugate is…

Q: 8. Solve for the quadratic equation x²-6x-8= 0 using the quadratic formula. 9. Solve for the…

A: Solution

Q: Approximate the real solutions to the quadratic equation to two decimal places. (Enter your answers…

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Q: 16 20 Q 1. A photographer needs a frame for a 16 x 20 inch picture, such that the total area is 340…

A: Used the area =length *width

Q: Solve for the discriminant of the following quadratic equation and determine the nature of its roots…

A: 1.3x2-6x=52. 36-12x+x2=0

Q: Noah and Lin are each trying to solve the equation - 6z + 10 = 0. They know that the solutions to…

A: We must know the basics of quadratic equation having complex roots. i  =  -1  is the identification…

Q: Find the solutions of the quadratic by factoring. SHOW ALL OF YOUR WORK. 21m2 - 24m + 3 = 0

A: We can use general formulas of quadratic equations ax^2+bx+c = 0

Q: Write the quadratic formula root [-6+v6? – 4ac]/(2a) in a form so that there are no serious problems…

A: Given: The quadratic formula root, -b+b2-4ac2a b is positive and very large compared to ac. Find:…

Q: 1. Solve the quadratic equation 3x² + x – 5 = x² + 4x + 15 by factoring. 2. Solve the quadratic…

A: Given  1. 3x2+x-5=x2+4x+15 2. 12y2+25y=22

Q: Use the Quadratic formula to find TWO solutions to 2x2+ 3x – 10 =0. sSelect them from the choices…

A: Solution:

Q: Use the Quadratic formula to find TWO solutions to 2x+4x-11 0. Select them from the choices below. O…

A:

Q: 48. The sum and the product of the roots of the quadratic equation 6x? &_ respectively. В. - 4x – 12…

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Q: 15 Write a quadratic equation that has integer coefficients and has solutions and -- 14 5 A. 70x…

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Q: 49. Find a quadratic equation with integer coefficients whose roots are the reciprocals of the roots…

A: The equation is 4x2-23x+15=0. Obtain its roots: 4x2-23x+15=04x2-20x-3x+15=04xx-5-3x-5=0x-54x-3=0…

Q: 11. Solve using the quadratic formula. 2x2 - 3x + 4 = 0 12. Solve by factoring. x2 - 5x +4 = 0 13.…

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Q: Use the quadratic formula to solve for x. 5x+5x-1=0 (If there is more than one solution, separate…

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Q: 6. In the quadratic formula, the expression in the radical, b² – 4ac, is known as the discriminant.…

A: b2-4ac is known as discriminant

Q: Use the Quadratic Formula to solve the equation: 4p = p – 9 1+ v143i 1 - V143i 8 8 1+ v145 1- V145 8…

A: The objective is to use the quadratic formula to solve the given equation.