Question

if a+b=7 and ab=10 find the value of a^2+b^2​

Answer 1

Answer:

29

Step-by-step explanation:

a+b=7

ab=10

To solve for

${a}^{2} + {b}^{2}$

We know that

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

Putting the values

${a}^{2} + {b}^{2} = {7}^{2} - 2 \times 10 \\ {a}^{2} + {b}^{2} = 49 - 20 = 29$