Question

5 multiple choice 1 point
solve the following:
$4x^2 - 5 = 19x$
no real solution
{1, 4, 5}
{1, -5}
${-\frac{1}{4}, 5}$

Explanation:

Step1: Rearrange to standard quadratic form

$4x^2 - 19x - 5 = 0$

Step2: Factor the quadratic expression

$(4x + 1)(x - 5) = 0$

Step3: Solve for each factor

$4x + 1 = 0 \implies x = -\frac{1}{4}$; $x - 5 = 0 \implies x = 5$

Answer:

$\{-\frac{1}{4}, 5\}$