Answer:
This expression cannot be factored
Step-by-step explanation:
-5t^2 +5t+24
-5(t^2 -t-24/5)
What two numbers multiply to - 24/5 and add to -1
There are no rational numbers
You distribute the 5 into the equation,
you also have to follow the signs, negative times a negative is a positive
so you get 20/7
Answer:
t=2
Step-by-step explanation:
Add 9 to both sides to form a perfect square trinomial:
x² + 6x = 7
x² + 6x + 9 = 16
x² + 2•x•3 + 3² = 16
(x + 3)² = 16
(recall that (a + b)² = a² + 2ab + b²)
Now solve for x. Taking square roots on both sides, we get
x + 3 = ± √16
x + 3 = ± 4
x = -3 ± 4
so the two solutions are x = -7 and x = 1.