Question

Need to use quadratic formula.The solution to the equation 4x² +98 = 0 is

Answer 1

We must solve the quadratic equation

4x² + 98 = 0

using the quadratic formula.

First simplify the equation by dividing both sides by 2:

2x² + 49 = 0

Identify the coeficients:

a = 2

b = 0

c = 49

Calculate delta:

Δ = b² - 4ac

Δ = 0 - 4.2.49

Δ = 0 - 392

Δ = -392

Now let's apply the quadratic formula:

x = (-b ± √Δ) / 2a

x = (-0 ± √-392) / 4

x = ± 14√2i / 4

x = ± 7√2i / 2

So

x' = -7√2i / 2

x'' = 7√2i / 2

Answer: the roots are x' = -7√2i / 2 and x'' = 7√2i / 2