Question

Grade 8 Mathematics level 3

Answer 1

The value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.

What is an Equation?

An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.

Given that;

• √( 1 + (25/144) ) = 1 + (x/12)

• Find the value of x.

First, we square both sides

√( 1 + (25/144) ) = 1 + (x/12)

(√( 1 + (25/144) ))² = (1 + (x/12))²

1 + (25/144) = 1 + ( x²/144)

Collect like terms

1 - 1 + (25/144) = ( x²/144)

25/144 = x²/144

We cross multiply

25 × 144 = x² × 144

Multiply each sides by 1/144

x² = 25

x = √25

x = 5

Therefore, the value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.

Learn more about equations here: brainly.com/question/14686792

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