Question

2x² - 28x + 98 = 0

Explanation:

Step1: Factor out common coefficient

Divide all terms by 2.
$\frac{2x^2}{2} - \frac{28x}{2} + \frac{98}{2} = \frac{0}{2}$
Simplify to: $x^2 - 14x + 49 = 0$

Step2: Factor the quadratic

Rewrite as perfect square trinomial.
$(x - 7)^2 = 0$

Step3: Solve for x

Set binomial equal to 0.
$x - 7 = 0$

Answer:

$x = 7$ (repeated root)