Please help, it is a bonus problem so you don't have to show your work. But I would like to see it.

10

Step-by-step explanation:

→ Factorise equation

( 2x + 6 ) ( x - 1 )

→ Solve

x = -3 and 1

→ Find the value

(-3)² + (1)² = 10

In a quadratic equation, the formula is:  ax^2 + bx + c = 0

In the given formula 2x^2 + 4x -6 = 0:

a = 2, b = 4 and c = -6

Using the quadratic formula x1, x2 = -b+/-sqrt(b^2-4ac)/2a

Replace am b and c with their values and solve:

Now you have the 2 x values :

x1 = 1, x2 = -3

1^2 + -3^2 = 1 + 9 = 10

10

add an image

step-by-step explanation:

step-by-step :