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Find the discriminant.\newline9u2+7u+3=09u^2 + 7u + 3 = 0

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Full solution

Q. Find the discriminant.\newline9u2+7u+3=09u^2 + 7u + 3 = 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+7u+3=09u^2 + 7u + 3 = 0, the coefficients are:\newlinea = 99\newlineb = 77\newlinec = 33
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac.\newlineSubstitute the identified values into the formula:\newlineD=(7)2−4×9×3D = (7)^2 - 4 \times 9 \times 3
  3. Perform calculations: Perform the calculations to find the value of the discriminant.\newlineD=49−4×9×3D = 49 - 4 \times 9 \times 3\newlineD=49−108D = 49 - 108\newlineD=−59D = -59

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