Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the discriminant.\newline4z2z+2=04z^2 - z + 2 = 0

Full solution

Q. Find the discriminant.\newline4z2z+2=04z^2 - z + 2 = 0
  1. Identify coefficients: Identify the coefficients aa, bb, and cc from the quadratic equation 4z2z+2=04z^2 - z + 2 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0.a=4a = 4, b=1b = -1, c=2c = 2
  2. Recall formula: Recall the formula for the discriminant of a quadratic equation, which is D=b24acD = b^2 - 4ac.
  3. Substitute values: Substitute the identified values into the discriminant formula: D=(1)24×4×2D = (-1)^2 - 4 \times 4 \times 2.
  4. Calculate discriminant: Calculate the discriminant: D=132D = 1 - 32.
  5. Simplify result: Simplify the result to find the value of the discriminant: D=31D = -31.

More problems from Using the discriminant