Question

Solve the equations.
a. 4a^2 = 16
b. 5????^2 − 25 = 0
c. 8 − c^2 = 5

Answer 1

`a=\pm 2`,
`x=\pm √(5)` and
`c=\pm √(3)`.

Explanation:

Consider the given equations are

a.
`4a^2=16`

b.
`5x^2-25=0`

c.
`8-c^2=5`

(a)

`4a^2=16`

Divide both sides by 4.

`a^2=4`

Taking square root on both sides.

`a=\pm √(4)`

`a=\pm 2`

(b)

`5x^2-25=0`

Add 25 on both sides.

`5x^2=25`

Divide both sides by 5.

`x^2=5`

Taking square root on both sides.

`x=\pm √(5)`

(c)

`8-c^2=5`

Subtract 8 from both sides.

`-c^2=-3`

Multiply both sides by -1.

`c^2=3`

Taking square root on both sides.

`c=\pm √(3)`