Find the solution set.8x^2-2x=3 separate the two values with a comma.
Mathematics · High School · Tue Nov 03 2020
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Given the quadratic equation:
8x^2 - 2x = 3
Can be written as,
8x^2 -2x -3 = 0
Find the solution.
a = 8 b = -2 c = -3
Solution:
In order to determine the solution of the given quadratic equation, we will use the quadratic formula.
Quadratic formula:
x = −b ± √(b^2 − 4ac)/ 2a
Substitute the given values of a, b and c in the quadratic formula.
x = -(-2) ± √((-2)^2 − 4(8)(-3))/ 2(8)
x = 2 ± √(4 + 96)/ 16
x = 2 ± √100/ 16
x = 2 ± 10 / 16
Solve for ± x individually
x = 2 + 10 /16
x = 12/16 or ¾
x = 2 - 10/16
x = -8/16 or - ½
Final answer:
x = ¾
x= -½