Unknown Value of "x" in Quadratic Equation 3x2 - 2x - 8 = 0
2 & -1.3333 are the roots of quadratic equation 3x2 - 2x - 8 = 0. Users may replace the input values of this equation 3x2 - 2x - 8 = 0 to verify the similar calculations or generate complete work with steps to find what is the unknown or root value of x.
Work with Steps for 3x2 - 2x - 8 = 0
The below work with steps may helpful for grade school students to understand how to find unknown or root values of x for quadratic equation 3x2 - 2x - 8 = 0 or to solve the worksheet problems.
step 1 Address the input parameters and values
Quadratic Equation : 3x2 - 2x - 8 = 0
step 2 Substitute a , b and c values in below formula
x = - b ± √b² - 4ac2a
=-(-2) ± √(-22 - 4 (3) (-8))2(3)
=2± √4 - 4 (3)(-8)6
=2± √4 + 966
=2± √1006
step 3 Solve the above expression for minus & plus values
x1 = 2 + √1006
= 2 + 10/6
x2 = 2 - √1006
= 2 - 10/6
step 4 By simplifying the above expressions for x1 & x2
x1 = 12/6
x1 = 2
x2 = -8/6
x2 = -1.3333
x1 = 2 & x2 = -1.3333 are the roots for equation 3x2 - 2x - 8 = 0
