Question

What value of x will make the equation true?


(StartRoot 5 EndRoot) (StartRoot 5 EndRoot) = x

Answer 1

$</p><p> \sf \rightarrow \quad \sqrt{5} \times \sqrt{5} = x \\ \\ \sf \rightarrow \quad x = {( \sqrt{5}) }^{2} \\ \\ \sf \rightarrow \quad x = 5</p><p>$

Hence, for x = 5 , following equation will be true.

Answer 2

Concept:

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It shows that the expressions displayed on the left and right sides have an equal relationship.
We have LHS = RHS (left hand side = right hand side) in every mathematical equation. Equations can be solved to get the value of an unknown variable that represents an unknown quantity.
A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

Given:
x = √5 × √5

Find:
Determine the value of x

Solution:

The equation is x = √5 × √5

The equation becomes true if L.H.S. and R.H.S. are the same.

Hence, x = 5.

Therefore, the equation is true if x = 5.

#SPJ2