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3 years ago

PLEASE HELP I REALLY NEED IT

Mathematics

1 answer:

Snezhnost [94]3 years ago

6 0

We know that
the x-intercepts of the quadratic function f(x)=x²−3x−10 is when
f(x)=0

x²−3x−10=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²−3x)=10

Complete the square. Remember to balance the equation by adding the same constants to each side.

(x²−3x+2.25)=10+2.25

Rewrite as perfect squares

(x-1.5)²=12.25----------> (+/-)[x-1.5]=3.5

(+)[x-1.5]=3.5----> x1=5
(-)[x-1.5]=3.5-----> x2=-2

the answer is
the x-intercepts of the quadratic function are
x=5
x=-2

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