Question

What is the discriminant? What is the type and number of solutions?
-8x² +4x-1=0

Answer 1

x= 1/4 - 1/4 x= 1/4 + 1/4

Explanation:

Answer 2

Type: (+ ve)

Number of solutions: 2

Explanation:

Discriminant:

• The discriminant of the quadratic formula is the section under the radical.
• It tells us whether there are two solutions, one solution, or no solutions.
• D = b² - 4ac

We are given an equation (-8x² + 4x - 1 = 0)

Now, change the sign

-8x² + 4x - 1 = 0

8x² - 4x + 1 = 0

Here,

• a = 8
• b = (-4)
• c = 1

Now, discriminant

D = b² - 4ac

D = (8)² - (4)(8)(1)

D = 64 - 32

D = 32 > 0

Here, 32 is greater than 0 so, it has two solutions.

Extra Information:

• b² - 4ac > 0 ↬ (+ ve), 2 solutions
• b² - 4ac = 0 ↬ (= 0), 1 solution
• b² - 4ac < 0 ↬ (- ve), No solution