Solve 3x2 – 18x + 5 = 47 for x.
2 answers:
Answer:
x = 3 +√23 and x = 3 - √23
Step-by-step explanation:
The given equation 3x^2 -18x +5 = 47
This can be written as 3x^2 -18x + 5 - 47 =0
3x^2 -18x - 42 = 0
Here we have to use the quadratic formula.
x =
From the given equation, a = 3, b = -18 and c = -42
Plug in these values in the above formula, we get
x =
x =
Simplifying the above expression, we get
x = 3 +√23 and x = 3 - √23
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Given equation: A(n - 3) +8= bn.
Solution: On the left side of the equation we have A(n-3).
We don't have any sign in between A and parenthesis (n-3).
So, we need to multiply A and (n-3).
We need to apply distributive property to multiply A and (n-3).
Distributing A over (n-3), we get
A(n-3) = A*n - 3*A = An -3A.
Substituting this value in original equation,
An -3A +8= bn.
We need to solve it for n, so we get n terms on a side.
We have An on left side, we need to get rid n from left side.
Subtracting An from both sides, we get
An -3A +8-An= bn-An.
-3A +8 = bn - An.
We can see n is a common factor on rigth side in bn-an.
Factoring out n on right side from bn-an.
-3A +8 = (b - A)n.
Dividing both sides by (b-A),
On right (b-A) paranthiss cancelled and we get n on right side.
Final answer.
So, that would be our final answer
n = (-3A+8)/(b-A)