Step-by-step explanation:
By Cosine rule, we have
s² = t² + u² - 2(t)(u)(cosS)
=> cosS = (t² + u² - s²)/2tu
=> cosS = (58² + 27² - 50²) / (2 * 58 * 27) = 0.5086.
Therefore S = cos^-1(0.5086) = 59.4° (1d.p.)
This expression is called the Discriminant, also shown as Δ.
It is equal to b² - 4ac. This is a very important part of the quadratic formula as it determines whether x will have two values, one repeated value or no real values. Here are a few examples.
a) x² - 2x - 1. a is equal to 1 since 1x² = x². b = -2, c = -1
The discriminant will be (-2)² - 4×1×-1 = 4 + 4 = 8.
Since Δ > 0, there are two x values. Graphed, the parabola sinks below the x axis.
b) x². a = 1, b = 0 (0x = 0), c = 0
The discriminant will be 0² - 4×1×0 = 0 - 0 = 0.
Since Δ = 0, there is only one x value. Graphed, the parabola touches the x axis at only one point.
c) x² + 1. a = 1, c = 1.
The discriminant will be 0² - 4×1×1 = 0 - 4 = -4
Since Δ < 0, there are no real x values. Graphed, the parabola floats above the x axis.
Hope this helps!
the answer to your question is x= -2
Answer:
1. 12x^2 +2xy
Step-by-step explanation:
1. 12x^2 +2xy
2. 21ab^2 +35ab
3. w^2+15w+ 14
4. m^2-12m+20
5. 2k^2+5k-3
6. -r^2-5r-6
7. 8y^2+26y+15
8. -2d^2-7d-5
9. (h+6)(h-4)=0
10. s^2-7s+12=0
11. -2d^2-7d-5
Answer:
Step-by-step explanation:
Ok first multiply the first two monomials:
Then multiply THAT with the OTHER monomial:
This should be the answer. Let me know if it's wrong.
