Question

Solve it: x²-5x-6 = 0​

Answer 1

Answer:-

Explanation:

x2−5x+6=0

Here we can first factorise the expression and then find the solution:

Factorising by splitting middle term

x2−2x−3x+6=0

x(x−2)−3(x−2)=0

(x−2)(x−3)=0

Equating the two factors with zero to obtain solutions:

x−2=0,x=2

x−3=0,x=3

Step-by-step explanation:

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Answer 2

Answer:

[ 5 ± 7 ] / 2

Step-by-step explanation:

x²- 5x  - 6 = 0​

Using Quadratic formula,

x = (-b ± √b² - 4ac) / 2a

x = [-(-5) ± √(-5)² - 4(1)(-6)]/2(1)

x = 5 ± √(25 + 24)] / 2

x = [5 ± √49] / 2

x = [ 5 ± 7 ] / 2

                                        $x=\frac{5-7}{2} \\\\x=\frac{-2}{2} \\\\x=-1$

$x = \frac{5+7}{2} \\\\x=\frac{12}{2} \\\\x=6$                  

→ WE CAN'T SOLVE THIS QUESTION USING THE FACTORISATION METHOD.