Question

Which system of equations can be graphed to find the solution(s) to 4x2 = x2 – 7?

Answer 1

The system of equations that can be graphed to find the solutions of the equation $4{x^2} = {x^2} - 7$ are $\boxed{y = 4{x^2}{\text{ and }}y = {x^2} - 7}.$

Further explanation:

Given:

The equation is $4{x^2} = {x^2} - 7.$

Explanation:

The given equation is $4{x^2} = {x^2} - 7.$

The left hand side of the equation is $4{x^2}$

The right hand side of the equation is ${x^2} - 7.$

Consider the left hand side as $y$.

$y = 4{x^2}$

Consider the right hand side as $y$.

$y = {x^2} - 7$

The two equations are $y = {x^2} - 7$ and $y = 4{x^2}$

The system of equations that can be graphed to find the solutions of the equation $4{x^2} = {x^2} - 7$ are $\boxed{y = 4{x^2}{\text{ and }}y = {x^2} - 7}.$

Learn more:

1. Learn more about inverse of the function brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: system of equations, roots, equation, 4x2 = x2 - 7, zeros, find the roots, graphed, solutions, polynomial, left hand side, right hand side, graphical, factors, function, polynomials, quadratic equation.

Answer 2

$4x^2 = x^2 - 7$

In order to find the solution by graphing we need to make two equation with x and y terms

we use Left hand side 4x^2 for first equation and right side x^2 -7 for second equation.

So the equation becomes

first equation $y=4x^2$

Second equation $y= x^2 - 7$

$y= x^2 \ and \ y= x^2-7$ are the system of equations that can be graphed to find solution