Question

solve the following quadratic equations by completing the square method.​

Answer 1

Step-by-step explanation:

The form for a perfect square is a2+2ab+b2=(a+b)2.

x2+2x−5=0.

Add 5 to both sides of the equation.

x2+2x=5

Divide the coefficient of the x value by 2, then square the result.

22=1; 12=1

Add the result to both sides.

x2+2x+1=5+1 =

x2+2x+1=6

The left side is now a perfect square trinomial.

x2+2x+1=(x+1)2

(x+1)2=6

Take the square root on both sides.

x+1=±√6

Subtract 1 from both sides.

x=√6−1

x=−√6−1

hope it helps .

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