Question

if a+b = 10 and ab = 18 find the value of a² + b² answer​

Answer 1

Answer:

64

Step-by-step explanation:

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

${(10)}^{2} = {a}^{2} + {b}^{2} + 2 \times 18$

${a}^{2} + {b}^{2} = 100 - 36$

${a}^{2} + {b}^{2} = 64$

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Answer 2

Answer:

By the Identity,

(a+b)² = a² + b² + 2ab,

a² + b² = (10)² - 2(18)

a² + b² = 100 - 36

a² + b² = 64.

Hope it Helps ^_^