# Unknown Value of "x" in Quadratic Equation 2x^{2} + 9x + 10 = 0

## Work with Steps for 2x^{2} + 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 2x^{2} + 9x + 10 = 0 or to solve the worksheet problems.
step 1 Address the input parameters and values

Quadratic Equation : 2x^{2} + 9x + 10 = 0

step 2 Substitute a , b and c values in below formula

x = - b ± √b² - 4ac2a

=-(9) ± √(9^{2} - 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

x_{1} = -9 + √14

= -9 + 1/4

x_{2} = -9 - √14

= -9 - 1/4

step 4 By simplifying the above expressions for x_{1} & x_{2}

x_{1} = -8/4

x_{1} = -2

x_{2} = -10/4

x_{2} = -2.5

x_{1} = -2 & x_{2} = -2.5 are the roots for equation 2x^{2} + 9x + 10 = 0