what is the discriminant of the quadratic equation 2x + 5x² = 1?\n-18\n-16\n22\n24

Explanation:

Step1: Rewrite the equation in standard form

First, rewrite $2x + 5x^{2}=1$ as $5x^{2}+2x - 1=0$. For a quadratic equation $ax^{2}+bx + c = 0$, here $a = 5$, $b = 2$, $c=-1$.

Step2: Recall the discriminant formula

The discriminant $\Delta$ of a quadratic equation $ax^{2}+bx + c = 0$ is given by $\Delta=b^{2}-4ac$.

Step3: Substitute the values of a, b, c

Substitute $a = 5$, $b = 2$, $c=-1$ into the formula: $\Delta=(2)^{2}-4\times5\times(-1)=4 + 20=24$.

Answer:

D. 24