Question

If a + b equal to 10, ab to equal 24, find a square + b square

Answer 1

Answer:

a+B=10 given

a×b=24 given

we have formula (a+b) bracket square = a square + 2 ab + b square

now we have a+b = 10

10 square = a square + 2 a×b + b square

100 = a square + 2× 24 + b square

100 = a square + b square + 48

100 - 48 = a square + b square

52 = a square + b square

Answer is a square + b square = 52

Answer 2

Answer:

Given

a+b=10,(1)

ab=24(2)

FROM (1) EQUATION

a=10-b(3)

PUTTING (3) IN (2)

(10-b)(b)=24

10b-b²=24

b²-10b+24=0

MIDDLE TERM SPLITTING

b²-6b-4b+24=0

b(b-6)-4(b-6)=0

therefore

b=6 & b=4

PUTTING IN EQUATION (2)

a=24/6. &a=24/4

hence

a=4. & a=6

now put the values of a and b in the below equation

a²+b²