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Find the discriminant.\newline4x2+8x+9=04x^2 + 8x + 9 = 0

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Full solution

Q. Find the discriminant.\newline4x2+8x+9=04x^2 + 8x + 9 = 0
  1. Identify values: Identify the values of aa, bb, and cc in the quadratic equation 4x2+8x+9=04x^2 + 8x + 9 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0.
    a=4a = 4
    b=8b = 8
    c=9c = 9
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac.\newlineSubstitute the identified values into the formula:\newlineD=82−4×4×9D = 8^2 - 4 \times 4 \times 9
  3. Perform calculations: Perform the calculations to find the value of the discriminant.\newlineD=64−4×4×9D = 64 - 4 \times 4 \times 9\newlineD=64−16×9D = 64 - 16 \times 9\newlineD=64−144D = 64 - 144
  4. Find final value: Complete the calculation to find the final value of the discriminant.\newlineD=64−144D = 64 - 144\newlineD=−80D = -80

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