Question 43454This question is from textbook college algebra
: please help with this last one.
Solve the quadratic equation by factoring
2x^2 = 19x + 33
thanks This question is from textbook college algebra
You can put this solution on YOUR website! Solve by factoring: Rewrite in standard form.
The factors will be in the form: (2x+a)(x+b)
Look at the first term and determine that the obvious factors are:
Now look at the last (constant) term and determine the factors (a and b) of -33.
The choices are:
(a)(b)
(-1)(33) = -33
(1)(-33) = -33
(3)(-11) = -33
(-3)(11) = -33
Choose the pair from the above list such that: 2b+a = -19 which is the coefficient of the middle term of the rewritten quadratic equation.
The obvious choice is: a = 3 and b = -11 since 2(-11) + 3 = -22 + 3 = -19
Now you can write the factors of your quadratic equation:
Now you can solve the quadratic equation.
Apply the zero products principle. and/or
If then and
If then
The roots are:
(