2) Solve quadratic equation by factorization method.
X² – 7x + 12 = -2
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So x^2 - 7x + 14
-x2+7x-14 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = -1
B = 7
C = -14
Accordingly, B2 - 4AC =
49 - 56 =
-7
Applying the quadratic formula :
We get answer as
√ 7 , rounded to 4 decimal digits, is 2.6458
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