Question

solve x2 +5√5x-70 =0

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given:

x2 +5√5x-70 =0

To find:

The solution of x2 +5√5x-70 =0

Solution:

On solving x2 +5√5x-70 =0, x= -7$\sqrt{5}$ and x=2$\sqrt{5}$.

We can find the solution by following the given steps-

We know that the equation is quadratic and has 2 roots.

The equation: x2 +5√5x-70 =0

On factorizing it, we get

$x^{2}$+7$\sqrt{5}$x-2$\sqrt{5}$x-70=0

x(x+7$\sqrt{5}$)-2$\sqrt{5}$(x+7$\sqrt{5}$)=0

(x+7$\sqrt{5}$)(x-2$\sqrt{5}$)=0

To get the values of x, we will equate both the terms in brackets to 0.

(x+7$\sqrt{5}$)=0

(x-2$\sqrt{5}$)=0

So, the solutions of the equation are as follows-

x= -7$\sqrt{5}$ and x=2$\sqrt{5}$

Therefore, on solving x2 +5√5x-70 =0, x= -7$\sqrt{5}$ and x=2$\sqrt{5}$.