what is the discriminant of the quadratic equation 3 - 4x = -6x²?\n-68\n-56\n76\n88

Explanation:

Step1: Rewrite the equation in standard form

First, rewrite $3 - 4x=-6x^{2}$ as $6x^{2}-4x + 3=0$. For a quadratic equation $ax^{2}+bx + c = 0$, here $a = 6$, $b=-4$, $c = 3$.

Step2: Recall the discriminant formula

The discriminant $\Delta=b^{2}-4ac$.

Step3: Substitute the values of a, b, c

Substitute $a = 6$, $b=-4$, $c = 3$ into the formula: $\Delta=(-4)^{2}-4\times6\times3$.

Step4: Calculate the result

$\Delta = 16-72=-56$.

Answer:

-56