Question

Two numbers when multiplied equal 45. one number is x and the other number is greater than x by 4.
a) Represent the information given in equation form.

b) Express as a quadratic equation

c) Solve the quadratic equation to find possible values for x

d) If told that the two numbers were positive, give the values of the two original numbers.

Answer 1

Step-by-step explanation:

Part a:

$x = y + 4 \\ or \\ x - y = 4 \\ xy = 45 \\ (y + 4)(y) = 45 \\ {y}^{2} + 4y - 45 = 0$

Part b: