Solve this quadratic Equation 3x^2 + 4x = 2
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the quadratic equation:
3x^2 + 4x = 2
It can be written as,
3x^2 + 4x - 2 = 0
a = 3
b = 4
c = -2
Solution:
In order to solve for the quadratic equation, we can use the quadratic formula.
The Quadratic formula:
x = −b ± √(b^2 − 4ac)/2a
is used to solve quadratic equations where a ≠ 0, in the form
ax^2+bx+c=0
When b^2−4ac=0 there is one real root.
When b^2−4ac>0 there are two real roots.
When b^2−4ac<0 there are no real roots, only a complex number.
Substitute the given values of a, b and c to the quadratic formula.
x = −b ± √(b^2 − 4ac)/2a
x = −4 ± √(4^2 − 4(3)(-2))/2(3)
x = −4 ± √(16 + 24))/6
x = −4 ± √(40)/6
x = −4 ± 6.32/6
Solve for + - separately
x = -4 + 6.32/6
x = 0.386
x = -4 - 6.32/6
x = -1.72
Final answer:
x = 0.386
x = -1.72