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Find the discriminant.\newline8r2+8r−5=08r^2 + 8r - 5 = 0

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Full solution

Q. Find the discriminant.\newline8r2+8r−5=08r^2 + 8r - 5 = 0
  1. Identify coefficients: Identify the coefficients aa, bb, and cc from the quadratic equation 8r2+8r−5=08r^2 + 8r - 5 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0.\newlinea=8a = 8\newlineb=8b = 8\newlinec=−5c = -5
  2. Calculate discriminant: Use the discriminant formula D=b2−4acD = b^2 - 4ac to calculate the discriminant of the quadratic equation.\newlineSubstitute the identified values into the formula:\newlineD=(8)2−4×8×(−5)D = (8)^2 - 4 \times 8 \times (-5)
  3. Perform calculations: Perform the calculations to find the value of the discriminant.\newlineD=64−(−160)D = 64 - (-160)\newlineD=64+160D = 64 + 160\newlineD=224D = 224

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