Answer:
1 ± √47
Step-by-step explanation:
Combine like terms in 2x^2 +3 x-7 =x^2 +5x +39:
2x^2 - x^2 = x^2 (first term);
3x - 5x = -2x (second term);
-7 - 39 = -46 (third term)
Then we have, all on the left side, x^2 - 2x - 46, which is a quadratic equation. Here the coefficients are a = 1, b = -2 and c = -46.
Then the discriminant, b^2 - 4ac, is:
(-2)^2 - 4(1)(-46) = 4 + 184.
The roots are:
-(-2) ±√188 2 ± √4√47
------------------- = -------------------
2 2
= 1 ± √47 (last of the answer choices)
=
x = ------------------
Answer:
First equation : 3, 0, -3, -6
Second equation : 2, 2.5, 3, 3.5
Step-by-step explanation:
What the first equation is basically saying is subtract 3 each time.
What the second equation is basically saying is add 0.5 each time.
Then we just add/subtract to find the first four terms.
Solution :
We know, cot 2θ = 1/tan 2θ
Multiplying tan 2θ both side of the given equation.
tan²2θ - 3tan 2θ - 10 = 0
tan²2θ - 5tan 2θ + 2tan 2θ - 10 = 0
tan 2θ ( tan 2θ - 5 ) + 2 ( tan 2θ - 5 ) = 0
tan 2θ = -2 or tan 2θ = 5
Therefore, or
Hence, this is the required solution.
Answer:
x=3
Step-by-step explanation:
firstly this equation isn't possible without it equaling to something. I set it equal to zero and got x=3.
EX:
(x-3)^(3)=0
Derivative of tan(x) is sec²x
You can check the first principle method of derivation in attachment