Question

Consider the function f(x) = x2 + 2x – 35. If one of the zeros of the

Answer 1

If one zeros is x= -7 then the other zero is x=5

Step-by-step explanation:

We are given the function: $f(x) = x^2 + 2x-35$

If one zeros of the function is x=-7 we need to find other zero of the function.

We can find zeros of the quadratic equation by factorizing the equation

$f(x) = x^2 + 2x-35$

Factorizing the quadratic equation:

$x^2 + 2x-35=0\\x^2-5x+7x-35=0\\x(x-5)+7(x-5)=0\\(x+7)(x-5)=0\\x+7=0\,\,and\,\,x-5=0\\x=-7\,\,and\,\,x=5$

So, if one zeros is x= -7 then the other zero is x=5

Keywords: Solving Quadratic Equation

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