Solve for yy. Express your answer as an integer or integers or in simplest radical form.42, equals, minus, 4, plus, 2, y, squared42=−4+2y 2
Question
Solve for yy. Express your answer as an integer or integers or in simplest radical form.42, equals, minus, 4, plus, 2, y, squared42=−4+2y 2
Solution
The equation you provided is 42 = -4 + 2y^2.
First, let's isolate the term with y. We can do this by adding 4 to both sides of the equation:
42 + 4 = -4 + 4 + 2y^2 46 = 2y^2
Next, we divide both sides by 2 to solve for y^2:
46 / 2 = 2y^2 / 2 23 = y^2
Finally, we take the square root of both sides to solve for y. Remember that the square root of a number can be both positive and negative:
y = sqrt(23) or y = -sqrt(23)
So, the solutions for y are sqrt(23) and -sqrt(23).
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