Answer:
1)
2)
3) Evaluating we get
4)
5)
Step-by-step explanation:
1)
Prime factors of 1225 : 5x5x7x7
Prime factors of 1024: 2x2x2x2x2x2x2x2x2x2
2)
We know that
Applying radical rule:
So,
3)
It can be written as:
Evaluating we get
4)
Put value of x, y and z in equation and solve:
So,
5)
We know (-a)^n = (a)^n when n is even and (-a)^n = (-a)^n when n is odd
So,
The factors of the quadratic equation is (x + 1) and (x - 6)
Given,
The quadratic equation; -2x² + 10x + 12
We have to find the factors of this equation using quadratic formula;-
Quadratic formula;-
Here,
a = -2, b = 10 and c = 12
Now,
=
=
= (-10±14) ÷ -4
Solve for,
- 10 + 14 / -4 = -4/4 = -1
That is, (x + 1)
Solve for,
- 10 - 14 / -4 = -24/-4 = 6
That is, (x - 6)
Therefore, the factors for the given quadratic equation is (x + 1) and (x - 6)
Learn more about quadratic formula here;
#SPJ1
