To find the value of k for which one root of the quadratic equation kx² + 14x + 80 = 0 is equal to zero, we can substitute one of the roots into the equation.
First, let’s express the quadratic formula. A quadratic equation in the form of ax² + bx + c = 0 has roots given by:
x = (-b ± √(b² – 4ac)) / 2a
For the given equation, a = k, b = 14, and c = 80. If we want one of the roots to be zero, we can substitute x = 0 into the equation:
k(0)² + 14(0) + 80 = 0
This simplifies to:
80 = 0
This does not hold true, so the other way to interpret