Answer:
x = 4
x = 3
Explanation:
quotient of 24 and x equals 14 minus 2 times x
quotient means division
quotient of 24 and x equals 14 minus 2 times x means
24 ÷ x = 14 - 2 * x
you have to do it in PEMDAS order
PEMDAS means the order of operations for mathematical expressions involving more than one operation.
It stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.
(24 ÷ x) = 14 - (2 * x) =
(24/x) = 14 - (2x) =
24/x = 14 - 2x
24 = (14 - 2x) * x
24 = 14x - 2x^2
simplify by dividing each number by 2
12= 7x - x^2
x^2 - 7x + 12= 0
now figure which 2 numbers when multiplied give you +12 and when added give you -7?
those numbers are -4 and -3
(x-4) (x-3) = 0
x = 4
x = 3