Question

16x^2=100
How many solutions will there be to the following equation?

Answer 1

16x^2 = 100
x^2 = 100/16
x^2 = 6.25
x = (+-) sqrt 6.25
x = (+-) 2.5

x = 2.5 and x = - 2.5........2 solutions

Answer 2

Answer:

There are two solutions $x=\frac{5}{2},-\frac{5}{2}$

Step-by-step explanation:

Given : Equation $16x^2=100$

To find : How many solutions will there be to the following equation?      

Solution :

Equation $16x^2=100$

Solve the equation,

Divide by 16 both side,

$\frac{16x^2}{16}=\frac{100}{16}$

$x^2=\frac{100}{16}$

Taking root both side,

$x=\sqrt{\frac{100}{16}}$

$x=\sqrt{\frac{10^2}{4^2}}$

$x=\pm\frac{10}{4}}$

$x=\pm\frac{5}{2}}$

Therefore, There are two solutions $x=\frac{5}{2},-\frac{5}{2}$