Question

If a+b=15 and ab=56 find the value of a square+b square

Answer 1

Answer:

Given:

a+b=15

ab=56

Solution:

$({a + b})^{2} = { a}^{2} + {b}^{2} + 2ab$

$( {a + b})^{2} - 2ab = {a}^{2} + {b}^{2}$

${15}^{2} - 2 \times 56$

$225 - 112 = 113$

Hope it helps..