solve for x :?

Question

4x^2 = -2x - 5

that's
four x squared equals negative 2 x minus five

Answer 1

4x² = -2x - 5

Completing the square
4x² + 2x = -5 >>>Rearrange in the form x² + px = q
4x² + 2x + (2 / 2)² = -5 + (2 / 2)² >>>Add (coefficient of x / 2)² to both sides. x is 2.
4x² + 2x + 1² = -5 + 1²
(4x + 1)² = -5 + 1
4x + 1 = ± √-4 >>>√-4 cannot be simplify because its -

4x = -1 + √-4
x = (-1 + √-4) / 4

4x = -1 - √-4
x = (-1 - √-4) / 4

Thus x = (-1 + √-4) / 4 or (-1 - √-4) / 4

Answer 2

First recognize that this is a quadratic equation which means you can use the quadratic formula unless the directions tell you to complete the square.

4x^2 +2x +5 =0

a=4
b=2
c=5

x= -(2) + √(2)2 – 4 (4)(5)
2(4)

X= [-2 +√4-80 ] over 8 = [-2 + √-76] over 8 = [-2 + 2i√19] over 8 = [ -1 + i√19] over 4
the other answer is the worked the same [ -1 - i√19] over 4

Answer 3

4x^2 + 2x + 5 = 0

Answer 4

4x² + 2x + 5 = 0
x = -2/8 ± √[4 - 4•4•5] / 8
x = -1/4 ± √-76 / 8
x = -1/4 ± √(-4•19) / 8
x = -1/4 ± 2i√19 / 8
x = -1/4 ± i√19 / 4

Answer 5

4x^2 + 2x + 5 = 0

Just by looking at that I know the answer's gonna be an imaginary number.

If you want that anyway we'll use the quadratic formula...
(-2 +/- √(4-80))/8
(-2 +/- √(-76))/8
(-1 +/- √(-19))/4

so your answers are:
(-1 + √(19))/4, (-1 - i√(19))/4

Answer 6

4x^2 = -2x - 5
4x^2 + 2x + 5 = 0

now all you have to do is plug the numbers into the quadratic formula

Answer 7

4x² + 2x + 5 = 0
x = [ (- 2) ± √(4 - 80) ] / 8
x = [ (- 2) ± √(- 76) ] / 8
x = [ (- 2) ± 2i √19 ] / 8
x = [ ( -1) ± i √(19) ] / 4

Answer 8

x = negative one plus or minus the square root of nineteen eye

eye=i, the square root of negative one