Question

4x^2 + 4x =3
help pls

Answer 1

x = 1/2 or -3/2

Explanation:

Rewrite in Standard Form:

4x²+4x=3 ==> 4x²+4x-3=0

Identify: a=4 b=4 c= -3

Quadratic Formula:

`x=(-b+√(b^2-4ac))/(2a) or (-b-√(b^2-4ac))/(2a)\\ \\=(-4+√(4^2-4(4)(-3)))/(2(4)) or (-4-√(4^2-4(4)(-3)))/(2(4))\\\\=(-4+√(16+48))/(8) or (-4-√(16+48))/(8)\\\\=(-4+√(64))/(8) or (-4-√(64))/(8)\\\\=(-4+8)/(8) or (-4-8)/(8)\\\\=(4)/(8) or (-12)/(8)\\\\=(1)/(2) or -(3)/(2)`

Answer 2

x = .5, - 1.5

Explanation:

4x^2 + 4x =3

To solve for x, we can complete the square.

4 ( x^2 + x) = 3

x^2 + x = 3/4

Take the coefficient of x, divide by 2, and square.

(1/2)^2

Then add to each side.

x^2 + x + 1/4= 3/4 +1/4

(x+1/2) ^2 = 1

Take the square root of each side.

x+1/2 = ±1

x = ±1 -1/2

x = 1-1/2 or -1-1/2

x = 1/2, -3/2

x = .5, - 1.5