Question

Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options.

8(x2 + 2x + 1) = –3 + 8
x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot
8(x2 + 2x + 1) = 3 + 1
8(x2 + 2x) = –3

Answer 1

Explanation:

8x2 + 16x + 3 = 0

a is 8 b is 16 c is 3

multiply 8 and 3 = 24

what 2 numbers when multiplied make 24 and when added make 16?

use quadratic formula

a is 8 b is 16 c is 3

x= (-b +- (√b^2-4ac))/2a

x= (-16 +- (√b^2-4(8)(3)))/2(8)

x= (-16 +- (√16^2-96))/16

x= (-16 +- (√256-96))/16

x= (-16 +- (√160))/16

x= (-16 +- (4√10))/16

x= -1 +- (√10/4)

split up the + and -

x= -1 - √10/4 = -0.209431

x= -1 + √10/4 = -1.79057