Question

(Solving a Quadratic Equation by completing squares)
Solve the equation x2(square) – 5x – 6 = 0.
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Answer 1

x^2-5x-6=0

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

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

Answer 2

Step-by-step explanation:

Given:-

x²-5x-6=0

To find:-

Solving a Quadratic Equation by completing squares)

Solving a Quadratic Equation by completing squares)Solve the equation x²– 5x – 6 = 0.

Solution:-

Given equation is x²-5x-6=0

=>x²-5x-6=0

=>x²-(2/2)5x-6=0

=>x²-2(x)(5/2)-6=0

=>x²-2(x)(5/2)=6

On adding (5/2)² both sides then

=>x²-2(x)(5/2)+(5/2)²=6+(5/2)²

=>[x-(5/2)]²=6+(25/4)

=>[x-(5/2)]²=(24+25)/4

=>[x-(5/2)]²=49/4

=>x-(5/2)=±√(49/4)

=>x-(5/2)=±7/2

=>x=(5/2)±(7/2)

=>x=(5±7)/2

therefore,x=(5+7)/2 or (5-7)/2

=>x=12/2 or -2/2

=>x=6 or -1

The roots are 6 and -1