SOLUTION: What is the solution of 5 = 17x^2 - 200x ? A. 1 real number B. 2 complex numbers that are conjugates C. 2 real unequal numbers D. 0 E. none of these

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Question 936694: What is the solution of 5 = 17x^2 - 200x ?
A. 1 real number
B. 2 complex numbers that are conjugates
C. 2 real unequal numbers
D. 0
E. none of these
Found 3 solutions by TimothyLamb, Alan3354, reviewermath:
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
5 = 17x^2 - 200x
17x^2 - 200x - 5 = 0
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the above quadratic equation is in standard form, with a=17, b=-200 and c=-5
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
17 -200 -5
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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x = 11.789653
x = -0.0249470996
---
answer:
C. 2 real unequal numbers
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Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
What is the solution of 5 = 17x^2 - 200x ?

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 : .

Discriminant d=40300 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 13.3582866332949, -0.0249532999615771. Here's your graph:

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First, we need to compute the discriminant b^2-4ac: b^2-4ac = 40300.
Looks like C
Answer by reviewermath(1029)   (Show Source): You can put this solution on YOUR website!
What is the solution of 5 = 17x^2 - 200x ?
A. 1 real number
B. 2 complex numbers that are conjugates
C. 2 real unequal numbers
D. 0
E. none of these
Solution:
Express the equation in the form , then identify the values of a, b, and c.

a = 17, b = -200, and c = -5
The discriminant is = 40340 > 0 [positive number]
Therefore, the answer is C. 2 real unequal numbers
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