SOLUTION: solve. express your answer in decimal form. 3x^2-5=46 solve. express your answer in simplest radical form. 37-y^2=-8

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: solve. express your answer in decimal form. 3x^2-5=46 solve. express your answer in simplest radical form. 37-y^2=-8       Log On


   

Question 1037419: solve. express your answer in decimal form.
3x^2-5=46
solve. express your answer in simplest radical form.
37-y^2=-8




Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve. express your answer in decimal form.
3x^2 - 5 = 46
Add 5 to each side
3x^2 = 46 + 5
3x^2 = 51
divide both sides by 3
x^2 = 17
x = sqrt%2817%29
x = +/- 4.123105626
:
solve. express your answer in simplest radical form.
37 - y^2 = -8
subtract 37 from both sides
-y^2 = -8 - 37
-y^2 = -45
multiply both sides by -1
y^2 = 45
y = sqrt%2845%29
Factor inside the radical to reveal a perfect square
y = sqrt%289%2A5%29
extract the square root of 9
y = +/-3sqrt%285%29