Solve the equation 2x^2+16x-11=-7 by completing the square. Show your work Please.

x₁ = - 4 + 3√2

x₂ = - 4 - 3√2

Hi !

2x² + 16x - 11 = - 7

2x² + 16x - 11 + 7 = 0

2x² + 16x - 4 = 0 | : 2

x² + 8x - 2 = 0

a = 1 ; b = 8 ; c = - 2

x = (- b ± √b² - 4ac)/2a

x = (-8 ± √8² - 4×1×-2)/2×1

x = 2(-4 ± √3√2)/2

x = - 4 ± 3√2

x₁ = - 4 + 3√2

x₂ = - 4 - 3√2

Good luck !

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.  

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: