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.