Respuesta :

[tex] 4x^2 = x^2 - 7 [/tex]

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 [tex] y=4x^2 [/tex]

Second equation [tex] y= x^2 - 7 [/tex]

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

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

Further explanation:

Given:

The equation is [tex]4{x^2} = {x^2} - 7.[/tex]

Explanation:

The given equation is [tex]4{x^2} = {x^2} - 7.[/tex]

The left hand side of the equation is [tex]4{x^2}[/tex]

The right hand side of the equation is [tex]{x^2} - 7.[/tex]

Consider the left hand side as [tex]y[/tex].

[tex]y = 4{x^2}[/tex]

Consider the right hand side as [tex]y[/tex].

[tex]y = {x^2} - 7[/tex]

The two equations are [tex]y = {x^2} - 7[/tex] and [tex]y = 4{x^2}[/tex]

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

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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.