1/2x^2 + 4x - 1 = 0
How to factor it

x + 4 - 3√2 and x + 4 + 3√2

Step-by-step explanation:

When other methods seem to difficult to apply, try using the quadratic formula:

Here a = 1/2, b = 4 and c = -1.

Then the "discriminant" is b^2 - 4ac, or

(4)^2 - 4(1/2)(-1), or 16 + 2 = 18

Then the roots are:

      -4 ± √18, or -4 ± 3√2

and thus the factors are x + 4 - 3√2 and x + 4 + 3√2

x =

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

c

step-by-step explanation: