Question

solve the equation using splitting method.
plse help me faster friends
${x }^{2} + 5x - 6 = 0$
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Answer 1

Answer :

The factors are (x + 6) and (x - 1) and their values are (-6,1)

Given :

equation :

${x}^{2} + \: 5x \: - \: 6$

product = (-6)

sum = 5

factors ( 6 , -1 )

Now split the terms :

${x}^{2} + 5x - 6$ = 0

${x}^{2} + 6x - x - 6$ = 0

$x(x + 6) - (x + 6)$ = 0

$(x + 6)(x - 1)$ = 0

Therefore ,

the factors are (x + 6) and (x - 1)

=> x + 6 = 0

=> x = (-6)

and

=> x - 1 = 0

=> x = 1

Therefore,

The values of x are ( -6 , 1 )

Answer 2

Step-by-step explanation:

x^2 + 5x -6 =0

x^2 + 6x -x -6 =0

2x( x +3 ) -1 ( x +3 ) =0

(x+3) (2x -1) =0

x = -3 x = 1/2