Question

4x$4x^{2} -10=186$

Answer 1

Hey there!

I suppose you mean the following.
$4x^{2} -10=186$, solve for x.

Let's start solving this equation step by step!
First add 10 to both sides of the equation.
$4 {x}^{2} = 196$

Now divide both sides of the equation by 4, in order to isolate the variable.
${x}^{2} = 49$

And finally, to find our solutions we need to take the root of both sides. Don't forget to include the negative answer!
$x = \sqrt{49} \: \: or \: \: x = - \sqrt{49}$

Simplify the roots.
$x = 7 \: \: or \: \: x = - 7$

~ Hope this helps you!

Answer 2

Hi there!

Simplify th' Eqⁿ :-

4x² - 10 = 186

4x² = 186 + 10

4x² = 196

x² = $\dfrac {196}{4}$

x² = 49

x = ± $\sqrt {49}$

x = ± 7

Hence,
The required solⁿ of the eqn. are. 7 and -7

~ Hope it helps!