SOLUTION: Determine the roots of the following quadratic equation x^2 - 14x + 45 = 0

Algebra.Com
Question 36475: Determine the roots of the following quadratic equation
x^2 - 14x + 45 = 0

Answer by vidhyak(98)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE quadratic equation with variable
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=16 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 9, 5. Here's your graph:


RELATED QUESTIONS

Determine the coordinates of the vertex and the roots of the quadratic equation... (answered by solver91311)
For the following quadratic equation, determine the nature of the roots. 5x^2-20x-225=0 (answered by ikleyn,MathLover1,MathTherapy)
find all roots of the equation:... (answered by stanbon)
The roots of the equation x^2-14x+48=0 are... (answered by jim_thompson5910)
Solve the following quadratic equation using extraction of roots (no decimal... (answered by ikleyn)
Find the discriminant for each of the following quadratic equations and use it to... (answered by venugopalramana)
Use the following quadratic formula to answer the following equation: x= {{{(-b+-... (answered by Alan3354)
find the roots of the equation x^2-3x+2=0 by using the quadratic... (answered by nerdybill)
Find the roots of the equation x³ - 7x² + 14x - 8 = 0, if the roots are in... (answered by josgarithmetic)