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Nina [5.8K]
2 years ago
15

Determine f(2), explain your choice.

Mathematics
2 answers:
Tanya [424]2 years ago
7 0
F(2) is the same as saying if x is 2 then what is y
If you don’t understand leave a comment
Lena [83]2 years ago
4 0
Answer: 30

Why?
F(2) means that x= 2 so go to 2 on the x axis and go up to where the like is. The y is 30 so that’s your answer
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Select the two values of x that are roots of this equation.
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\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}

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<u>Given </u><u>:</u><u>-</u><u> </u>

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  • The equation is 2x² + 7x +6=0

And we need to find out the roots of the given equation. We can use the middle term splitting method to find out the roots as ,

<u>Given </u><u>equation</u><u> </u><u>:</u><u>-</u>

\implies 2x^2 + 7x +6=0

Step 1: <u>Find</u><u> out</u><u> the</u><u> </u><u>factors</u><u> </u><u>of </u><u>1</u><u>2</u><u> </u><u>:</u><u>-</u><u> </u>

We will choose the two factors such that their sum equals to the coefficient of x i.e. 7 .The factors are , 1×12 , 2×6 , 3×4 .

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Step 2 :<u> Breaking</u><u> the</u><u> </u><u>middle</u><u> term</u><u> </u><u>:</u><u>-</u><u> </u>

\implies 2x^2 + 3x+4x +6=0

Step 3: <u>Take </u><u>out </u><u>common</u><u> </u><u>from </u><u>terms </u><u>:</u><u>-</u>

\implies x(2x + 3) +2(2x +3)=0

\implies ( x +2)(2x+3)=0

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\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}

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