Question

Use the quadratic formula to solve for X.

Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.

Answer 1

Answer: x = -.63, -2.37

Explanation:

x=−32±3–√2

x=−0.633975

x=−2.36603

Find the Solution for

2x2+6x+3=0

using the Quadratic Formula where

a = 2, b = 6, and c = 3

x=−b±b2−4ac/√2a

x=−6±62−4(2)(3)/√2(2)

x=−6±36−24/√4

x=−6±12−−√4

The discriminant b2−4ac>0

so, there are two real roots.

Simplify the Radical:

x=−6±23–√4

x=−64±23–√4

Simplify fractions and/or signs:

x=−32±3–√2

which becomes

x=−0.633975

x=−2.36603