Unknown Value of "x" in Quadratic Equation 2x2 + 9x + 10 = 0
-2 & -2.5 are the roots of quadratic equation 2x2 + 9x + 10 = 0. Users may replace the input values of this equation 2x2 + 9x + 10 = 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 2x2 + 9x + 10 = 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 2x2 + 9x + 10 = 0 or to solve the worksheet problems.
step 1 Address the input parameters and values
Quadratic Equation : 2x2 + 9x + 10 = 0
step 2 Substitute a , b and c values in below formula
x = - b ± √b² - 4ac2a
=-(9) ± √(92 - 4 (2) (10))2(2)
=-9± √81 - 4 (2)(10)4
=-9± √81 - 804
=-9± √14
step 3 Solve the above expression for minus & plus values
x1 = -9 + √14
= -9 + 1/4
x2 = -9 - √14
= -9 - 1/4
step 4 By simplifying the above expressions for x1 & x2
x1 = -8/4
x1 = -2
x2 = -10/4
x2 = -2.5
x1 = -2 & x2 = -2.5 are the roots for equation 2x2 + 9x + 10 = 0
