Question

if a+b=30 and a^2+b^2=740 find the value of ab​

Answer 1

$\huge\qquad \mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}$

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HERE,

a+b=30

a^2+b^2=740

we know that,

$\boxed{\blue{\tt{(a+b)^2=a^2+b^2+2ab }}}$

according to the question,

• $\sf{ (30)^2=740+2ab}$

• $\sf{900=740+2ab }$

• $\sf{ 2ab=900-740 }$

• $\sf{ ab=\dfrac{160}{2} }$

• $\bold{ab=80 }$

$\sf{\color{aquamarine}{@Smaranika54}}$