Question

if x²-1=√64 what is the value of x solve step by step​

Answer 1

Step-by-step explanation:

Given equation is x²-1=√64

=>x²-1=8

=>x²=8+1

=>x²=9

=>x=±√9

=>x=±3

The value of x=±3

Check:-

If x=3 then 3²-1=9-1=8

√64=8

If x=-3 then (-3)²-1=9-1=8

√64=8

Verified

Answer 2

$\tt = > {x}^{2} - 1 = \sqrt{64} \\ \\ \tt = > {x}^{2} - 1 = 8 \\ \\ \tt = > \: \: \: \: \: \: {x}^{2} = 8 + 1 \\ \\ \tt = > \: \: \: \: \: {x}^{2} = 9 \\ \\ \tt = > \: \: \: \: \: {x}^{2} = {3}^{ 2} \\ \\ \tt = > \: \: \: \: \: \: {x}^{\cancel2} = {3}^{ \cancel2} \\ \\ \boxed{ \sf = > \: \: \: \: \: \: x = \red 3 \: \: \: \: \: }$