# SOLUTION: 17. Express the roots of 9x^2 + 40 = 36x in simplest (a + bi) form. Thanks happy new years

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: 17. Express the roots of 9x^2 + 40 = 36x in simplest (a + bi) form. Thanks happy new years      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

Question 174716This question is from textbook Amsco's Preparing for the Regents Examination Mathematics B
: 17.
Express the roots of 9x^2 + 40 = 36x in simplest (a + bi) form.
Thanks happy new years
This question is from textbook Amsco's Preparing for the Regents Examination Mathematics B

Found 2 solutions by Mathtut, jim_thompson5910:
You can put this solution on YOUR website!

roots
 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . The discriminant -144 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -144 is + or - . The solution is , or Here's your graph:

You can put this solution on YOUR website!

Subtract 36x from both sides.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Break up the fraction for each case.

or Reduce.