Answer:
x = 5, 4/3+i√2/3, 4/3-i√2/3.
Step-by-step explanation:
(x-5)(3x^2-8x+6) =0
This is in factored form already. 3x^2 - 8x + 6 cannot be factored, it is prime.
One zero is x = 5.
3x^2-8x+6 = 0 Using the quadratic formula:
x = [8 +/- sqrt (64 - 4*3*6]) / 6
x = 4/3 +/- sqrt (-8) / 6
x = 4/3 +/- 2sqrt2 i / 6
x = 4/3 +/- i√2 / 3.
Answer:
0.6
Step-by-step explanation:
I'll just factor the above equation.
x² + 18x + 80
x² ⇒ x * x
80
can be:
1 x 80
2 x 40
4 x 20
5 x 16
8 x 10 Correct pair
(x+8)(x+10)
x(x+10) +8(x+10) ⇒ x² + 10x + 8x + 80 = x² + 18x + 80
x+8 = 0
x = -8
x+10 = 0
x = -10
x = -8
(-8)² + 18(-8) + 80 = 0
64 - 144 + 80 = 0
144 - 144 = 0
0 = 0
(-10)² + 18(-10) + 80 = 0
100 - 180 + 80 = 0
180 - 180 = 0
0 = 0
I think the algebra tiles will not be a good tool to use to factor the quadratic equation because the equation is not a perfect square quadratic equation.
Answer:
-7/13
Step-by-step explanation:
(1 + 7x) - 6 * (-7 - x) = 36 Distribute the 6 into (-7 - x)
1 + 7x + 42 + 6x = 36 Combine like terms (1 + 42) & (7x + 6x)
43 + 13x = 36 Subtract 43 from both sides
13x = -7 Divide by 13
x = -7/13
Answer:
UV= 13
Step-by-step explanation: