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V125BC [204]
2 years ago
8

What are the zeros of the quadratic function f(x) equals 6X squared +12 X -7

Mathematics
1 answer:
tamaranim1 [39]2 years ago
7 0

The zeroes of the function will be \rm -1 \pm \dfrac{\sqrt{78}}{6}}

<h3>What is a Quadratic Function ?</h3>

A quadratic function is given by ax² +bx+c = f(x)

The given quadratic function is

f(x) = 6x² +12x - 7

The zeroes of the function will be given by

f(0) = 0

6x² +12x - 7 = 0

The zeroes are given by

\rm \dfrac {-b  \pm \sqrt{b^2 -4ac}}{2a}

here

a = 6

b = 12

c = -7

Therefore the zeroes of the function will be

\rm \dfrac {-12  \pm \sqrt{12^2 -4*6*(-7)}}{2 *6}

\rm \dfrac {-12  \pm \sqrt{312}}{12}

\rm -1 \pm \dfrac{\sqrt{78}}{6}}

Therefore these are the two zeroes of the function.

To know more about Quadratic Function

brainly.com/question/27918223

#SPJ1

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You may notice that all of the terms have a common factor: x. So, let's take the x out of all the terms. This gives us:

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Using the Zero Product Property, we can say that both x = 0 and x^2 + 2x - 24 = 0.

Let's solve both. x = 0 is obvious, but we still need to solve our other term:

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