The sum of a number and its square is 42. Write a quadratic equation that models this scenario using xx to represent the number Solve the quadratic equation to find the numbers. The positive solution is . The negative solution is

Q: The model below can be used to solve the equation 2x - 3 = 4x +3

A: 2x-3=4x+3 4x-2x=-3-3 2x=-6

Q: State two different methods for solving a quadratic equation. Give an example of each. Explain why…

A:

Q: The quantity b2 - 4ac is called the____ of a quadratic equation. If it is___, the equation has no…

A: We know ,for a quadratic equation of the form ax2+bx+c=0,(a≠0) Discriminant D is given by: D=b2-4ac…

Q: set up an equation and solve each problem. Find two integers whose product is 104 such that one of…

A: Consider the provided information, Find two integers whose product is 104 such that one of the…

Q: Write a quadratic equation with integer coefficients and the given numbers as solutions 3 and -3

A:

Q: Jonny solved the quadratic equation. x^2 + 4 = 0 and found no solutions. Is he correct?Why or why…

A: Solution the equation

Q: The quadratic equation, x + 1/x - 4x = 2 has a solution, what is the solution

A: In this question we have to find the value of x

Q: Mariana solved a linear equation and found that it had an infinite number of solutions. Which could…

A:

Q: If you could only learn one approach to solving quadratic equations, discuss which of the approaches…

A: We know that, the quadratic equation is in the form of ax2+bx+c=0 where a,b,c are real numbers and…

Q: The sum of a number and its square is 380. Write a quadratic equation that models this scenario…

A:

Q: A quadratic equation which goes

A: Given, a quadratic equation which goes through the origin has the form…

Q: set up an equation and solve each problem. Find two integers whose product is 105 such that one of…

A: Solution: Let x= one of two integer      y= second of two integer   we will need to form equation…

Q: Write a quadratic equation whose roots are 3 and -6 and who leading coefficient is 3.

A:

Q: set up an equation and solve each problem. Find two numbers such that their sum is 6 and their…

A: Find two numbers such that their sum is 6 and their product is 7.

Q: The quantity b2 - 4ac is called the  _____________ of a quadratic equation. If it is _____________ ,…

A: To fill the blanks :   The quantity b2 - 4ac is called the _______ of  a quadratic equation. If…

Q: Write the quadratic equation whose roots are 3 and 2, and whose leading coefficient is 4.

A:

Q: set up an equation and solve each problem. Find two numbers whose sum is 6 and whose product is 2.

A: We have to convert the given algebraic statements to algebraic equations , then we can use…

Q: The solutions of the equation (x + 5) (2æ – 1) (x – 3) = 0 are

A: This question is based on equating factors to zero.

Q: Without solving the quadratic equation,x2 = 2x - 19 determine the number and type of solutions.

A:

Q: Write a quadratic equation in standard form with the given solution set. {-1/2,2/5}

A: To write the quadratic equation in standard form.

Q: Solve the equation 2x' +x² - 6x = 0. %3D

A: In mathematics, A modulus function gives the magnitude of a number or variable irrespective of its…

Q: Solve the quadratic equation. 3x2-10x-8=0 Options:  x = -2 x = 4 x = 12 x = - 2/3

A:

Q: Write a quadratic equation with integer coefficients and the give numbers as solutions. (Use x as…

A: Quadratic equation

Q: solve. The sum of a number and its square is 90. Find the number.

A:

Q: Write an original word problem that can be solved using linear equation. Then solve the problem. a

A: Akshay has 2 pens, Pankaj has 3 pens, and both Akshay and Pankaj don't know how many pens Samantha…

Q: Write a quadratic equation in standard form that has solutions of x = -6 and x = 7.  a=   b=…

A:

Q: Write a quadratic equation in standard form with the given root(s). 1-8,5 2 1 3

A: As per your demand we solve question 2 for you Given problem:- Write a quadratic equation in…

Q: Find the Domain and solve: 2(x +8) (x+3) 25 (x-7) =5 (x +3) %3D Solution is : Example: x=3; x=5

A:

Q: set up an equation and solve each problem. The length of a rectangular floor is 1 meter less than…

A: Let the width of the rectangular floor be x. Then the length of the floor will be = (2x - 1) Given…

Q: Solve and graph the solution set on a number line. 2x + 2 4

A:

Q: Write the quadratic equation whose roots are  6 and 1, and whose leading coefficient is 4

A: We have to find quadratic equation whose roots are : 6 and 1, and whose leading coefficient is 4. We…

Q: Write a quadratic equation with integer coefficients and the given numbers as solutions. (Use x as…

A: Quadratic equation are those equation in which highest power of the equation is 2 and it has two…

Q: Solve the linear equation. 9x-6=-2+7x

A: Given 9x-6=-2+7x

Q: Explain: Write an original word problem that can be solved using a linear equation. Then solve the…

A: Definition used -          Linear equation -          The equation of a line is given by y= mx+b.…

Q: Write the quadratic equation whose roots are 4 and 1 , and whose leading coefficient is 4 .

A:

Q: Two cyclist, 64 miles apart, start riding toward each other at the same time. One cycles 3 times as…

A: given: Two cyclist, 64 miles apart, start riding toward each other at the same time. One cycles 3…

Q: Write the quadratic equation whose roots are -4 and 2, and whose leading coefficient is 5.

A:

Q: Write the quadratic equation whose roots are -5 and 4, and whose leading coefficient is 1

A: Here, the given roots are -5 and 4.We need to find the quadratic equation whose roots are given…

Q: find the smaller of 2 consecutive integers, x, if the sum of the two integers is -29. write an…

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Q: Write a quadratic equation with integer coefficients and the given numbers as solutions. (Use x as…

A: If there are two solutions a,b then the quadratic equation with the independent variable will be:…

Q: Classify the equation as having one solution, no solution, or infinite solutions. 5x - 20 = 5x - 20…

A: we have to solve equation and then tell about the solution

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: Discuss the solution set of the equation. 4 4,

A:

Q: Write a quadratic equation with integer coefficients and the given numbers as solutions. (Use x as…

A: Given Roots of the quadratic equation are 6 and 9.

Q: Write a quadratic equation with integer coefficients and the given numbers as solutions. (Use x as…

A: We need to write a quadratic equation with integer coefficients and the numbers 6 and -1 as…

Q: Write the quadratic equation in standard form with the integer coefficients solution set {2/3,-4}

A:

Q: Solve and graph the solution set on a number line:

A:

Q: Solve quadratic equation. (3x - 4)2 = 16

A:

Q: Write a quadratic equation with integer coefficients and the given numbers as solutions. (Use x as…

A: We have been given that -1/3 and 5 are solutions of a quadratic equation and we are supposed to…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.