Question

Solve 5x^2=180 algebraically

Answer 1

Hi...

Given:

$\texttt{5x}$² $\texttt{= 180}$

Solution:

$\texttt{5x}$² $\texttt{= 180}$

Explanation:

Divide both sides by 5

$\hookrightarrow{\mathtt{\frac{5x^2}{5}} = {\mathtt{\frac{180}{5}}$

Simplify:

$\hookrightarrow{\mathtt{x^2 = 36}$

$\hookrightarrow{\mathtt{For \: x^2 \: = f(a) \: the \: solutions \: are \: x = \sqrt{f(a)}}$ , $\mathtt{- \sqrt{f(a)}}$

$\hookrightarrow{\mathtt{x = \sqrt{36}}$ , $\mathtt{x = -\sqrt{36}}$

Factor the number: 36 = 6²

$\mathtt{= \sqrt{6^2}}$

Apply radical rule: $\mathtt{\sqrt[n]{a^n} \: = a}$

$\mathtt{\sqrt{6^2} = 6} \\\mathtt{= 6}$

- $\sqrt{36} = -6$

$\boxed{\fbox{\bf{x = 6 , x = -6}}}$

Hope It Helps You...

Answer 2

Answer:

x = ± 6

Step-by-step explanation:

Hello!

Solve

• $5x^2 = 180$
• $x^2 = 180/5$
• $x^2 = 36$
• $\sqrt{x^2} = \sqrt{36}$
• $x = \pm 6$

The value of x is 6 or -6.