Question

The value of a in 14a = 45² – 25² is: ​

Answer 1

Answer :-

a = 100.

Explanation :-

Given Equation : 14a = 45² – 25²

To Find : Value of a.

Solution :

We will solve this expression by using an identity,

a² – b² = (a + b)(a – b).

Now, Let's solve.

➙ 14a = 45² – 25²

➙ 14a = (45 + 25)(45 – 25).

➙ 14a = (70)(20).

➙ 14a = 1400.

➙ a = 1400 ÷ 14.

➙ a = 100.

Verification :

➙ 14a = 45² – 25²

➙ 14(100) = (45 + 25)(45 – 25).

➙ 1400 = (70)(20).

➙ 1400 = 1400.

LHS = RHS.

Hence, Verified.