Question

What are the approximate solutions of 4x2 + 3 = −12x to the nearest hundredth?

x ≈ −3.23 and x ≈ 0.23
x ≈ −2.72 and x ≈ −0.28
x ≈ 0.28 and x ≈ 2.72
x ≈ −0.23 and x ≈ 3.23

Answer 1

First

`4x^(2) + 12x + 3 = 0`
determine if this equation were factorable, it's not for this one
so I use quadratic formula, try to search the formula online


`x1 = \frac{-12 + \sqrt{(12)^(2) - 4*4*3} } {2*4} = (-12 + 4√(6) )/(8) = (4(-3 + √(6)) )/(8) = (-3 + √(6))/(2) = - 0.28`

`x2 = \frac{-12 - \sqrt{(12)^(2) - 4*4*3} } {2*4} = (-12 - 4√(6) )/(8) = (4(-3 - √(6)) )/(8) = (-3 - √(6))/(2) = - 2.72`

x ≈ −2.72 and x ≈ −0.28 is the solution