Question

if sum of two numbers is 5 and the sum of their cubes is 35 , find sum of their squares​

Answer 1

Answer:

Step-by-step explanation:

Hope this attachment helps you mark as brainliest please

Answer 2

The squares of the two numerals is 13

Step-by-step explanation:

Given:

Sum of two number = 5

Sum of cubes of the two number = 35

To find: Sum of the squares of the two numbers

Solution:

Let the numbers be a and b

Sum of two numbers is 5

Therefore,

a + b =5

Sum of the cubes is 35

$a^{3} + b^{3} =35$

we have to find $a^{2} + b^{2}$

$(a+b)^{3} = a^{3} + b^{3} +3ab(a+b)$

$(5)^{3} =35 +3ab(5)$

125 = 35 + 15ab

125-35 =15ab

90 = 15ab

ab = 90/15

ab = 6

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

$(5)^{2} = a^{2} + b^{2} - 2(6)$

$25 = a^{2} + b^{2} +12$

$a^{2} + b^{2} = 25 - 12$

$a^{2} + b^{2} = 13$

Final answer:

The sum of the squares of the two numbers $a^{2} + b^{2}$ is 13

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