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Select the two values of x that are roots of this equation.
2x2 + 7 x + 6 = 0
O A. X=-3
B. X= -4
C. x= -2
D. x= - 3/2

just for those that cant find it!
answer is in the picture, hope that helps

Select the two values of x that are roots of this equation 2x2 7 x 6 0 O A X3 B X 4 C x 2 D x 32 just for those that cant find it answer is in the picture hope class=

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VirαtKσhli

Answer:

[tex]\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}[/tex]

Step-by-step explanation:

Given :-

  • A quadratic equation is given to us.
  • 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 ,

Given equation :-

[tex]\implies 2x^2 + 7x +6=0[/tex]

Step 1: Find out the factors of 12 :-

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 .

  • And 3 + 4 = 7. So we will break the middle term into 3x and 4x .

Step 2 : Breaking the middle term :-

[tex]\implies 2x^2 + 3x+4x +6=0[/tex]

Step 3: Take out common from terms :-

[tex]\implies x(2x + 3) +2(2x +3)=0[/tex]

[tex]\implies ( x +2)(2x+3)=0 [/tex]

Step 4 : Equate them with 0 :-

[tex]\implies x = (-2) \qquad or\qquad x = \dfrac{-3}{2}[/tex]

Hence the correct options are C and D .

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