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Unknown Value of "x" in Quadratic Equation x2 + 5x + 6 = 0

Quadratic Equation Calculator

-2 & -3 are the roots of quadratic equation x2 + 5x + 6 = 0. Users may replace the input values of this equation x2 + 5x + 6 = 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 x2 + 5x + 6 = 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 x2 + 5x + 6 = 0 or to solve the worksheet problems. step 1 Address the input parameters and values
Quadratic Equation : x2 + 5x + 6 = 0

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

x = - b ± b² - 4ac2a

=-(5) ± (52 - 4 (1) (6))2(1)

=-5±25 - 4 (1)(6)2

=-5±25 - 242

=-5±12

step 3 Solve the above expression for minus & plus values
x1 = -5 + 12

= -5 + 1/2

x2 = -5 - 12

= -5 - 1/2

step 4 By simplifying the above expressions for x1 & x2
x1 = -4/2
x1 = -2
x2 = -6/2
x2 = -3

x1 = -2 & x2 = -3 are the roots for equation x2 + 5x + 6 = 0

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