Question

If a square+b square=13 and ab=16 Find a+b. a-b
a square+b square

Answer 1

Correct question

a square+b square=68 and ab=16 Find (a+b)(a-b)

AnSwEr

${\tt{\red{\underline{\large{Given}}}}}$

• An identity
• a²+b²=13
• ab=16

${\sf{\green{\underline{\large{To\:find}}}}}$

• (a+b)(a-b)

${\sf{\pink{\underline{\Large{Explanation}}}}}$

we know that

(a+b)²=a²+b²+2ab

¶utting the value

(a+b)²=a²+b²+2ab

=>(a+b)²=68+2×16

=>(a+b)²=68+32

=>(a+b)²=100

=>(a+b)=√100

=>a+b=10

Again Taking

(a-b)²=a²+b²-2ab

¶utting the value

(a-b)²=a²+b²-2ab

=>(a-b)²=68-2×16

=>(a-b)²=68-32

=>(a-b)²=36

=>(a-b)=√36

=>a-b=6

Now actual value is

(a+b)(a-b)=10×6

=>a²-b²=60