Emily said that when a and care real numbers with the same sign andb= 0, the roots of the equation ax² + bx + c = 0 are pure imaginary. Do you agree with Emily? Justify your answer.

Q: 2. 20 - x? = -29 %3D 4. 4x2 + 64 = 0 6. (x-8) = 0 %3D

A: 20-x2=-29 Subtract 20 from both sides: -x2=-49 Multiply both sides by -1: (Change the sign) x2=49…

Q: The product of two consecutive integers is 420. An equation is written in standard form to solve for…

A: Given : Product of two consecutive integer is 420. We have to complete the quadratic equation…

Q: If (x – 3)2 = 5, what values of x make the quadratic equation TRUE?

A: Here we have given a quadratic equation and we have to find out the value of variable x for which…

Q: Solve the equation x3 - 17x + 4 = 0 given that 4 is a root.

A: Given that x=4 is a root. So (x-4) is a factor. So, we will use synthetic division to find the other…

Q: If using the method of completing the square to solve the quadratic equation x2 - 19x + 23 = 0,…

A: Consider the given expression. x2-19x+23=0

Q: Which statement accurately describes the number and type of solutions for this quadratic, -2x2 + 16x…

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Q: Construct an equation whose roots are lees than 4 of the roots of x^3+3x^2-12x-10=0

A: Answer

Q: How many solutions are there to the equation 2x^2-3x+12 = 0? Tell how you know.

A: The given equation is a quadratic equation and here we have to find the solution of this equation:…

Q: i) g(*) = - x3

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Q: Solve without the use of the quadratic formula. ai) -(-6) 21.) x? - 6x +8 = 0 X= 4 X 2 22. (x + 5)2…

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Q: Does the equation 3.2x° – 53.4x = 0.015x – 43 have any root that is not an algebraic number? Justify…

A: Given that 3.2x6-53.4x=0.015x3-43 The equation can be written as, 3.2x6 -53.4x=0.015x3-433.2x6…

Q: Solve the given equation and write your final answer in set notation. 2x2 – 9x +9 x2 6.

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Q: Explain why the equation a* +b* +c* =d* has no solution when a, b, c and d are positive integers?

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Q: An equation that can be written in the form ax + b = 0, where a and b are real numbers and a ≠ 0, is…

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Q: I had a question regarding the quadratic formula. Based on the equation x = [-b +/- sqrt(-b^2 -…

A: As we are discussing about quadratic equations and of we want to determine equation have infinite…

Q: The algebra teacher wrote on a blackboard a quadratic equation of the form x2- Ax + B = 0. In…

A: Solution of the problem as follows

Q: If using the method of completing the square to solve the quadratic equation 22 + 7x + 27 = 0, which…

A: We need to use the method of completing the squares to solve x2+7x+27=0 We need to complete the…

Q: Which of these can be used to solve the equation 23 x 61 = ? %3D A. (20x60) + (20x1) + (3x60) +…

A: Option A is correct. Write                      23 = 20 + 3 and                61 = 60 + 1

Q: 10. -4x =x -8

A:

Q: If using the method of completing the square to solve the quadratic equation x – 6x + 6 = 0, which…

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Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning :…

A: If you want to solve this equation quickly you must solve it with the expansion of the formula

Q: If 4.x2 100 = 0, the roots of the equation are %3D A +25 B-25, only C +5 D-5, only

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Q: Without actually solving the equation, list all possible numbers that would have to be rejected if…

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Q: The cube root of -8 is not a real number.

A: The cube root of -8: 3√(-8) = -2

Q: Find/ Determine all real solutions to the following differences: Answer accurately and in the…

A: Consider the given equation 12x3+20x2-x-6=0. Solve the given equation for x and obtain the real…

Q: If using the method of completing the square to solve the quadratic equation x? – 20x + 33 = 0,…

A:

Q: 2. Given the equation x – 6x = 5, What number should be added to both sides to complete the square?…

A: Given,      x2-6x=5

Q: Explain why the solution set of the equation 3(x + 5) = 3x + 15 is the entire set of real numbers.

A: Given: 3 x+5 = 3x + 15 To explain: Why the solution set of given expression is the entire set of…

Q: What error did this person make while solving the equation using the quadratic formula?

A: Given,                6x² + 11x - 35 = 0

Q: If using the method of completing the square to solve the quadratic equation x2 + 8x +37 = 0, which…

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Q: If one root of the quadratic equation 2x2 +kx-6=0 is 2.find the value of k .Also find the other…

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Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.…

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Q: The solution set for x−7− square root of 36x =0 consists of

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Q: If one root of the quadratic equation 2x2+kx-6=0 is 2.find the value of k .Also find the other roots

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Q: If one root of the quadratic equation 2x? + kx -6 = 0 is 2, find the value of k Also, find the other…

A: given that one root of equation is 2

Q: If using the method of completing the square to solve the quadratic equation x^2-14x-15=0, which…

A: The given equation is  x^2-14x-15=0

Q: I can not solve this equation, need nelp.

A: To determine the values of x, y and z satisfying the simultaneous equations

Q: Find the root of the equation and also verify your answer. 2x4_3x2+1=0

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Q: Find the sum of the squares and sum of the squares of reciprocals of roots of equation…

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Q: If using the method of completing the square to solve the quadratic equation 22 +7x +27 = 0, which…

A: Given: x2+7x+27=0

Q: 7(3x + 1) = 21x+7

A: Topic-real number

Q: Given the equation:  (x+6)2=16 Using the property of  a2=16thena=±16 By using the equation editor…

A: follow next step

Q: Compute the value of the discriminnant and give the number of real Solutions of the ive yuadratic…

A: We are given the equation -2x2-8x-9=0. The discriminant is -82-4-2-9=-8<0. So, the roots are…

Q: When the solutions are going to be complex, which methods can be used to solve quadratic equations?…

A: When the solutions are going to be complex, formula methods can be used to solve quadratic equations…

Q: give the justification for each step of solving the equation 9x+12=10x-5

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Q: 4x -7x = -2

A: This question is based on solution of quadratic equation.

Q: What is the correct number and type of solution(s) for this quadratic equation, - 2x2 – 5x – 4 = 0?…

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Q: Determine whether the below given statement makes sense or does not make sense, and explain your…

A: Given equations are: 2x=16......(1)2x=15......(2) We can write the equation (1) as 24. 2x=24

Q: f using the method of completing the square to solve the quadratic equation x^2+17x-22=0, which…

A: The given quadratic equation is: x2+17x-22=0   As we know that; If x2=a, a>0 then x=+a or -a…

Q: If one root of the equation 7x2 + 13x + n = 0 is reciprocal of the other, the what is the value of…

A: The given equation,        7x2+13x+n=0

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.