Question

if 3a^2 = 4a - 5 and 3b^2 = 4b - 5 find the exact value of a^2+b^2

Answer 1

3a^2 = 4a - 5 and 3b^2 = 4b - 5

a^2 = (4a - 5)/3

b^2 = (4b - 5)/3

we need to find a^2 + b^2

so put values

(4a - 5)/3 + (4b - 5)/3

= (4a - 5 + 4b - 5)/3

= ( 4a + 4b - 10)/3

Thanks