Question

If (a+b)²=625 ,ab=100 then find the value of a and b.

Answer 1

For my convenience, plz assume a and b as x and y.
${(x + y)}^{2} = 625 \\ x + y = \sqrt{625} = 25 \\ xy = 100 \\ y = \frac{100}{x} \\ x + \frac{100}{x} = 25 \\ {x}^{2} - 25x + 100 = 0 \\ (x - 20)(x - 5) = 0 \\ x = 20 \: or \: 5 \\ y = 5 \: or \: 20$

Answer 2

Answer:

Step-by-step explanation:

( a + b )2 = 625

ab = 100 , a = ........ b = .........