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Find the discriminant.\newline4z2+9z+8=04z^2 + 9z + 8 = 0

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Full solution

Q. Find the discriminant.\newline4z2+9z+8=04z^2 + 9z + 8 = 0
  1. Identify values: Identify the values of aa, bb, and cc in the quadratic equation 4z2+9z+8=04z^2 + 9z + 8 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0.
    a=4a = 4
    b=9b = 9
    c=8c = 8
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac. Substitute the identified values into the formula: D=92−4×4×8D = 9^2 - 4 \times 4 \times 8
  3. Substitute values: Perform the calculations:\newlineD=81−(4×4×8)D = 81 - (4 \times 4 \times 8)\newlineD=81−128D = 81 - 128
  4. Perform calculations: Complete the calculation to find the value of the discriminant: D=81−128D = 81 - 128 D=−47D = -47

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