What is the solution of X2+10x=11

x = -11 or 1

Step-by-step explanation:

x² + 10x = 11

Subtract 11 from both sides

x² + 10x - 11 = 11-11

x² + 10x - 11 = 0

Factorise by finding 2  factors of -11 that the sum would be +10

+11 and -1 = +11 -1 = +10

Therefore we rewrite equation as

x² + 11x - x - 11 = 0

Facyorise

x(x + 11) -1(x + 11) = 0

(x + 11) (x - 1) = 0

(x + 11) =0 or x - 1 = 0

Therefore

x = -11 or x = 1

x = -11 or 1

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step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!