Question

factorise the quadratic equation x^2+11x+30=0

Answer 1

We have to find solution by factorisation method:

Here, x² + 11x + 30 = 0

or, x² + (5 + 6) x + 30 = 0

or, x² + 5x + 6x + 30 = 0

or, x (x + 5) + 6 (x + 5) = 0

or, (x + 5) (x + 6) = 0

Either x + 5 = 0 or, x + 6 = 0

This gives x = - 5, - 6

Therefore the required solution is x = - 5, - 6.

Answer 2

Answer:

${x}^{2} + 11x + 30 \\ {x}^{2} + 5x + 6x + 30 \\ x(x + 5) + 6x(x + 5) \\ (x + 6x)( x + 5)$

Hope it helps...