Question

Find a^2 + b^2 if a+b =12 and ab =10

Answer 1

Answer:

124 IS THE ANSWER

Step-by-step explanation:

A²+B²+2AB=(A+B)²

A²+B²=(A+B)²-2AB

A²+B²=(12)²-2(10)

A²+B²=144-20

A²+B²=124

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Answer 2

Answer:

$\huge\mathfrak\green{Solution}$

given that

$\star$a + b = 12

$\star$ab = 10

using formula

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

putting the value

${12}^{2} - 2×10 = {a}^{2} + {b}^{2}\\ \\</p><p>144 - 20 = {a}^{2} + {b}^{2}\\ \\</p><p>124 = {a}^{2} + {b}^{2}$