SOLUTION: Find the solutions to x^2 + 64 = 19x. Enter your answers separated by commas.

Algebra.Com
Question 1209245: Find the solutions to x^2 + 64 = 19x. Enter your answers separated by commas.
Answer by ikleyn(52780)   (Show Source): You can put this solution on YOUR website!
.
Find the solutions to x^2 + 64 = 19x. Enter your answers separated by comma.
~~~~~~~~~~~~~~~~~~~


Write in the standard form quadratic equation

    x^2 - 19x + 64 = 0.


Calculate the discriminant

    d = b^2 - 4ac = (-19)^2 - 4*1*64 = 361 - 256 = 105.


Find the roots using the quadratic formula

     =  = .


ANSWER.  There are two roots  ,     (separated by comma - one comma is just enough to separate two roots).

Solved.



RELATED QUESTIONS

Find all solutions of the equation. (Enter all answers including repetitions. Enter your... (answered by rothauserc)
Use a graphing device to find all real solutions of the equation, correct to two decimal... (answered by greenestamps)
Find all real solutions of the equation, correct to two decimal places.(Enter your... (answered by Alan3354)
Find the sixth roots of -64. Enter the solutions in standard form, in any order. (Enter... (answered by ikleyn)
Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find... (answered by Fombitz)
Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find... (answered by josgarithmetic)
We can find the solutions of sin(x) = 0.35 algebraically. x= .36, 2.78 (b) We... (answered by math_tutor2020)
Find all solutions, real and complex, of the equation. (Enter your answers as a... (answered by josgarithmetic)
Solve the equation. x^2 + 1x-20=0 Enter your solution(s) as numbers, separated by... (answered by jim_thompson5910)