How do you solve $x^2 + 5x – 6 = 0$ ?

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Answer 1 · 2015-08-02T06:17:57

$color(blue)(x=1,x=-6$ are the solutions for the expression.

$x^2+5x–6$

We can first factorise the above expression and then proceed towards finding the solution.

Factorising by splitting the middle term

$x^2+color(blue)(5x)–6 = x^2+color(blue)(6x - 1x)–6$

$=x(x+6) - 1(x +6)$

$color(blue)((x-1)(x+6)$ is the factorised form for the expression.
Now we can equate each factor with zero and obtain the solutions.

$x-1=0, color(blue)(x=1$
$x+6=0, color(blue)(x=-6$

How do you solve x^2 + 5x – 6 = 0 x^2 + 5x – 6 = 0 ?