The solution to the given equation [tex]x^{2} -9 = 0[/tex] will be 3 and -3.
Given equation is
[tex]x^{2} -9 = 0[/tex].....equation (i)
As we know that
[tex]a^{2} -b^{2} = (a+b) (a-b)[/tex]
So we can rewrite the equation (i) as
[tex]x^{2} -3^2=0[/tex]
[tex](x+3) (x-3)=0[/tex]
[tex]x+3=0\\\\x= -3\\\\x-3=0\\\\x=3[/tex]
So, there will be two solutions [tex]x=3,x=-3[/tex] 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 [tex]x^{2} -9 = 0[/tex] will be 3 and -3.
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https://brainly.com/question/198152
