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  1. Solve each equation by graphing the related function. If the equation has no real-number solution, write no solution.

x^2-9=0

Ax= ±3
Bx= ±9
Cx= 0
Dno solution

Verified Answer :

DarkWolf2884

I believe the answer is A. But I am not completely sure.

ashishdwivedilVT

The solution to the given equation \(x^{2} -9 = 0\) will be 3 and -3.

Given equation is

\(x^{2} -9 = 0\).....equation (i)

As we know that

\(a^{2} -b^{2} = (a+b) (a-b)\)

So we can rewrite the equation (i) as

\(x^{2} -3^2=0\)

\((x+3) (x-3)=0\)

\(x+3=0\\\\x= -3\\\\x-3=0\\\\x=3\)

So, there will be two solutions \(x=3,x=-3\) to the given equation.

How one can find the solution of an equation on the graph?

Solutions of a function f(x) are the points on the x-axis where the value of f(x) becomes zero.

Hence, the solution to the given equation \(x^{2} -9 = 0\) will be 3 and -3.

To get more about graphs visit to:

https://brainly.com/question/198152

View image ashishdwivedilVT

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