Answer:
w = 4
w = -1/2
Explanation:
so first of all this looks like a quadratic equation . I say this because you can subtract 4 to get 0 on one side . so you will have 2w²-2w-4=0.
to solve quadratic equations you need to use the quadratic formula . keep in mind you can only use the quadratic formula when your own quadratic equation is set set equal to 0. quadratic formula is equal to:
x= (-b±sqrt(b²-4ac))÷2a
now because this is a quadratic you can identify the values x, b, a, and c. we know that if it is a quadratic equation then the equation will be ax²+ BX + C. this is the basic formula for a quadratic equation so your values will be a equals 2 and B = -7 and C equals -4 and W equals X .
now because we know these values we can substitute it into the quadratic formula that i mentioned earlier .
x=(-(-7) ± sqrt( (-7)²-(4×2×(-4)) ) ) ÷ (2×2)
when you're simplify this you get
x= (7±sqrt(49+32))÷4
x= 7±sqrt(81) ÷ 4
x= (7±9)÷4
for quadratics it's normal that the x value is going to be two different values so don't panic at that !
the first x value
x= (7+9)÷4
= 16÷4
=4
the second x value
x= (7-9)÷4
=(-2)÷4
=-1/2
now remember that we said W equals X so the value of w will be 4 or -1/2 .