x² + 5x = 14, quadratic formula. with solution plz.
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Given : x² + 5x = 14
To Find : Quadratic Formula
Solution:
x² + 5x = 14
=> x² + 5x - 14 = 0
Comparing with
ax² + bx + c = 0
a = 1 , b = 5 , c = -14
Formula to find roots
(-b ± √D)/2a
where D = b² - 4ac
D = 5² - 4(1)(-4) = 81
(-5 ± √81)/(2(1))
= (-5 ± 9)/2
= (- 5 + 9)/2 , (-5 - 9)/2
= 2 , -7
Roots are 2 and -7
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