Question

solve the quadratic equation $2x^2 - 4x - 6 = 0$. use the keypad to enter the answer in the box. $x_1 = square$ and $x_2 = square$

Explanation:

Step1: Identify quadratic coefficients

For $2x^2 - 4x - 6 = 0$, $a=2$, $b=-4$, $c=-6$

Step2: Simplify the equation

Divide by 2: $x^2 - 2x - 3 = 0$

Step3: Factor the quadratic

Find factors of -3 that sum to -2: $(x-3)(x+1)=0$

Step4: Solve for x

Set each factor to 0: $x-3=0$ or $x+1=0$

Answer:

$x_1 = 3$ and $x_2 = -1$