MATH SOLVE

2 months ago

Q:
# The difference of two numbers is 7. If the sum of the smaller number and the square of the larger number is 125, what is the larger number?

Accepted Solution

A:

Step-by-step explanation:x - y = 7...eqn 1x^2 + y = 125...eqn 2making y the subject of the formula in eqn 1=> y = x -7...eqn 3subst for y from eqn 3 in eqn 2=> x^2 + x-7 = 125=> x^2 + x - 132 = 0=> (x + 12) (x -11) =0x = 11 or -12when x = 11, y = 4when x = -12, y = -19