SOLUTION: Evaluate all rational roots for X^2+3X-17.

Question 923761: Evaluate all rational roots for X^2+3X-17.
Found 2 solutions by josgarithmetic, ewatrrr:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
RATIONAL! Try factoring... but 17 & 1 will not give your linear coefficient.

Try looking at discriminant:

Two IRRATIONAL roots, if you want them.

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
X^2+3X-17 = 0

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=77 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.88748219369606, -5.88748219369606. Here's your graph:

RELATED QUESTIONS
Use the Rational Root Theorem to list all possible rational roots for each equation. Then (answered by robertb)
Use the Rational Root Theorem to list all possible rational roots for each equation. Then (answered by stanbon)
Use the rational roots therm to list all the possible rational roots for the equation... (answered by Edwin McCravy)
Use the rational root theorem to find all rational roots of the function. Then find all... (answered by jsmallt9)
Find all rational roots for the polynomial. {{{ 15x^2 + x - 2 =... (answered by scott8148)
find any rational roots for the equation: x^4 + 3x^3 - x^2 - 9x - 6 =... (answered by fractalier)
Indentify the number of positive, negative, and imaginary roots, all rational roots , and (answered by Boreal)
find any rational roots for the equation: x^4 + 3x^2 - 8x + 10... (answered by fractalier)
Use the rational root theorem to list all possible rational roots for each equation.then... (answered by KMST)