Question

Solve the equation using the quadratic formula: 2x2 - x - 1/2 = 0

Answer 1

Answer:

2×2-x-1/2=0

4 - x - 1/2=0

8 - 2x - 1=0

7- 2x= 0

-2x = -7

x = 7/2

Answer 2

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Given quadratic equation: 2x^2 + x + 1 = 0

Now, compare the given quadratic equation with the general form ax^2 + bx + c = 0

On comparing, we get

a = 2, b = 1 and c = 1

Therefore, the discriminant of the equation is:

D = b^2– 4ac

Now, substitute the values in the above formula

D = (1)^2 – 4(2)(1)

D = 1- 8

D = -7

Therefore, the required solution for the given quadratic equation is

x =[-b ± √D]/2a

x = [-1 ± √-7]/2(2)

We know that, √-1 = i

x = [-1 ± √7i] / 4

Hence, the solution for the given quadratic equation is (-1 ± √7i) / 4

Hope it's Helpful....:)