Question

Solve.
X =
4x2 = 81
(Simplify your answer. Use a comma

Answer 1

`\huge \boxed{\mathbb{QUESTION} \downarrow}`

• Solve for x ⇨ 4x² = 81.

`\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}`

`\sf \: 4 x ^ { 2 } = 81`

Divide both sides by 4.

`\sf \: x^(2)=(81)/(4) \\`

Take the square root of both sides of the equation.

`\sf \: x \: = \sqrt{ (81)/(4) } \\`

Now, simplify it.

`\boxed{ \boxed{ \bf \: x = + (9)/(2) \: or \: - (9)/(2) }} \\`

This can be further simplified to ..

`\boxed{ \boxed{ \bf \: x \: = + \: 4.5 \: or \: - 4.5}}`

NOTE :-

• You can solve this equation using the quadratic formula or by finding the difference of the squares. I've found the answer by using the easiest method ⇨ finding the square root method.

Answer 2

Hey there!

4x² = 81

x² = 81 ÷ 4

x² = 20.25

x = √20.25

x = 4.5

Hope it helps ya!