Question

Practice Set 2.3
Solve the following quadratic equations by completing the square method (2) x² + 2 x - 5 = 0 ​

Answer 1

Step-by-step explanation:

Given equation is x²+2x-5=0

Completing the square method:-

x²+2x-5=0

=>x²+2x=5

=>x²+2(x)(1)=5

adding 1²= 1 on both sides then

=>x²+2(x)(1)+1²=5+1

=>(x+1)²=6

since (a+b)²=a²+2ab+b²

=>x+1=±√6

=>x=-1±√6

therefore x=-1+√6 or -1-√6

Zeroes of the given equation are √6-1 and -1-√6