Question

sq.3 solving quadratics using square roots
score: 7/25 answered: 7/25
question 23
review
the equation $(x + 4)(4x - 5) = 0$ has two solutions. one is an integer, the other is a fraction.
the integer solution is
the fraction solution is

Explanation:

Step1: Apply zero product property

Set each factor equal to 0:
$x + 4 = 0$ and $4x - 5 = 0$

Step2: Solve first equation for x

Subtract 4 from both sides:
$x = 0 - 4 = -4$

Step3: Solve second equation for x

Add 5 to both sides, then divide by 4:
$4x = 5 \implies x = \frac{5}{4}$

Answer:

The integer solution is $-4$
The fraction solution is $\frac{5}{4}$