Question

Is this solution to the quadratic equation written below rational or irrational? Justify your answer. 0=2x^2+3x-10

Answer 1

Solution:

Consider the following quadratic equation:

$2x^2+3x-10=0$

to solve this equation, we apply the quadratic formula, to obtain the following solutions:

$x=\frac{-3+\sqrt[]{89}}{4}$

and

$x=\frac{-3-\sqrt[]{89}}{4}$

note that the square root of 89 is irrational then the whole number is irrational. We can conclude that the solutions of the given quadratic equation are

IRRATIONAL.