Question

Complete the square to write the equation, 4x2 24x – y 43 = 0, in standard form. y = (x )2

Answer 1

An equation is formed of two equal expressions. The equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation that is given to us is 4x²+24x-y+43=0, and we need to write the given equation in the form of y=(x)². Therefore, the equation can be solved in the following steps,

$4x^2+24x-y+43=0\\\\4x^2+24x-y+36+7=0\\\\(4x^2+24x+36)-y+7=0\\\\(2x+6)^2-(y-7)=0\\\\(y-7)=(2x+6)^2$

Hence, the equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

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