Solve the factored quadratic equation (x−5)(x+3)=0

Question

.(1 point)
The smaller solution is x=
, and the larger solution is x=
.

Answer 1

To solve the factored quadratic equation \((x - 5)(x + 3) = 0\), we set each factor equal to zero and solve for \(x\):

1. \(x - 5 = 0\) \[ x = 5 \]

2. \(x + 3 = 0\) \[ x = -3 \]

The solutions are \(x = 5\) and \(x = -3\).

The smaller solution is \(x = -3\) and the larger solution is \(x = 5\).

Answer 2

To begin a football game, a kicker has to kick off. The football follows the path h(x)=−1/30x(x−61)
, where h(x)
is the height of the football and x is the horizontal distance it has traveled in yards. Solve the equation to determine how far the ball will have traveled when it hits the ground.

0=−130x(x−61)


(1 point)
The ball will h