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#