14 times a number added to twice the square of a number is 60. Find the number.

Question

Solving Problems Involving Quadratic Equations and Rational Algebraic Equations

Answer 1

14x + 2x^2 = 60 divide by 2 and subtract 30 from both sides

x^2 + 7x -30 = 0 factor

(x+10)(x-3) = 0

x = 3 or -10

check the answers

14(3)+ 2(3)^2 = 42 + 18 = 60

14(-10) + 2(-10)^2 = -140 + 200 = 60