Question

solve for w

5w^2-14w=3

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for w in the equation 5w^2-14w=3, we need to set the equation equal to 0 and then solve for w.

5w^2 - 14w - 3 = 0

To solve this quadratic equation, we can use the quadratic formula:

w = (-(-14) ± √((-14)^2 - 4*5*(-3))) / (2*5)
w = (14 ± √(196 + 60)) / 10
w = (14 ± √256) / 10
w = (14 ± 16) / 10

There are two potential solutions for w:

w = (14 + 16) / 10 = 30 / 10 = 3
w = (14 - 16) / 10 = -2 / 10 = -0.2

Therefore, the solutions for w in the equation 5w^2-14w=3 are w = 3 and w = -0.2.