Verified Answer :
\(4x^2 = x^2 - 7\)
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
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 \(\boxed{y = 4{x^2}{\text{ and }}y = {x^2} - 7}.\)
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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.