Question

solve quad. equation x^2+5x-6=0​

Answer 1

Answer:

-2 and -3

Step-by-step explanation:

x^2+5x+6=0​

Resolving into factors we get,

(x+2)(x+3)=0

either,

x+2=0      x+3=0

x=-2          x=-3

therefore possible values of x are -2 and -3

we can also use the quadratic formula,

The quadratic formula is: ⇒ x = − b ± √ b 2 − 4 a c 2 a for a quadratic of the form a x 2 + b x + c . We have a = 1 , b = 5 , and c = 6 . x = − 5 ± √ 5 2 − 4 ( 1 ) ( 6 ) 2 ( 1 ) x = − 5 ± √ 25 − 24 2 x = − 5 ± √ 1 2 x = − 5 ± 1 2 Hence, x = − 6 2 = − 3 and x = − 4 2 = − 2  x 2 + 5 x + 6 = ( x + 3 ) ( x + 2 ) = 0 x + 3 = 0 → x = − 3 and x + 2 = 0 → x = − 2