Question

if the number a is 3 less than the number b and the sum of the square of a and b is 29 find the number ​

Answer 1

Answer: a=-5  b = -2       or       a=2  b =5

Step-by-step explanation:

If the number a is 3 less than the number b and the sum of the square of a and b is 29 we can write equations as -

a=b-3             and         a² + b²=29

Substitute value of a=b-3 in the equation a²+b²=29

(b-3)² + b² = 29

b² + 9 - 6b + b² = 29

2b² - 6b -20 = 0

b² - 3b - 10 =0

b² - 5b + 2b -10 =0

b(b-5) +2(b-5)=0

(b+2)(b-5) = 0

b= -2,5

So a is b-3.

a = -5 or  2