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Find the discriminant.\newline9u2+4u+1=09u^2 + 4u + 1 = 0

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Full solution

Q. Find the discriminant.\newline9u2+4u+1=09u^2 + 4u + 1 = 0
  1. Identify coefficients: Identify the coefficients of the quadratic equation.\newlineThe quadratic equation is in the form ax2+bx+c=0ax^2 + bx + c = 0. For the equation 9u2+4u+1=09u^2 + 4u + 1 = 0, the coefficients are:\newlinea = 99\newlineb = 44\newlinec = 11
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac.\newlineSubstitute the identified values into the formula:\newlineD=(4)2−4×9×1D = (4)^2 - 4 \times 9 \times 1
  3. Perform calculations: Perform the calculations to find the value of the discriminant.\newlineD=16−4×9×1D = 16 - 4 \times 9 \times 1\newlineD=16−36D = 16 - 36\newlineD=−20D = -20

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