Respuesta :

S1NGH

Answer:

x = -0.5 or 6

Step-by-step explanation:

→ First find the first set of terms in brackets

( 2x + ? ) ( x - ? )

→ Find 2 numbers which multiply to give -6 and subtract to give -11 when multiplied by 2

( 2x + 1 ) ( x - 6 ) = 0

→ Now solve

x = -0.5 or 6

Answer:

x = 6 and -0.5

Step-by-step explanation:

Equation; 2x² - 11x - 6 = 0

a = 2

b = -11

c = -6

Substitute in the values of the equation for the quadratic formula;

-b ± [tex]\sqrt{b^2 - 4ac}[/tex] / 2a

-(-11) ± [tex]\sqrt{(-11)^2 - 4(2)(-6)}[/tex] / 2(2)

11 ± [tex]\sqrt{121+48}[/tex] / 4

11 ± 13 / 4

=> 11 + 13 / 4 = 6

=> 11 - 13 = -0.5

So;

x = 6 and -0.5

Hope this helps!

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