Solve: sqrt (3)b + sqrt (2) = sqrt (7)b - 10
a) none
b) (3)
c) (-3)
d) (-4)
i need to know if my answer is correct or not and the answer i picked is a thanks
sqrt (3)b + sqrt (2) = sqrt (7)b - 10
If I take it the way you typed it, then
√3b - √7b = -10 - √2
b(√3-√7) = -10-√2
b = (-10-√2)/(√3-√7) = appr. 12.5
or definitely not one of the answers given
I have tried several interpretations of the question as typed and in each case get none of the answers. Is what is typed a true presentation of the question?
Then the answer would be A...
No not A as there is a solution to each of the presentations of the question. It is just that the answers are not any of the remaining three.
To solve the equation sqrt(3)b + sqrt(2) = sqrt(7)b - 10, we can start by isolating the "b" term on one side of the equation.
First, let's move sqrt(3)b to the other side by subtracting it from both sides:
sqrt(2) = sqrt(7)b - sqrt(3)b - 10
Next, let's combine the "b" terms on the right side of the equation:
sqrt(2) = (sqrt(7) - sqrt(3))b - 10
To further isolate the "b" term, let's move the constant term (-10) to the other side by adding 10 to both sides:
sqrt(2) + 10 = (sqrt(7) - sqrt(3))b
Now, we can simplify the expression (sqrt(7) - sqrt(3)) by rationalizing the denominator. To do this, we multiply both the numerator and denominator by the conjugate, which is (sqrt(7) + sqrt(3)):
(sqrt(2) + 10)/(sqrt(7) + sqrt(3)) = [(sqrt(7) - sqrt(3))(sqrt(7) + sqrt(3))]b
Simplifying the denominator and the numerator:
(sqrt(2) + 10)/(sqrt(7) + sqrt(3)) = (7 - 3)b
Now, simplify further:
(sqrt(2) + 10)/(sqrt(7) + sqrt(3)) = 4b
To solve for "b," divide both sides by 4:
[(sqrt(2) + 10)/(sqrt(7) + sqrt(3))]/4 = b
At this point, you would need a calculator to determine the exact value of b. Once you have the value, you can compare it to the answer choices (none, 3, -3, -4) to determine the correct answer.