Question 32 Match the value of the discriminanit with the number of solutions Value of Discriminant \( \square \) - 0 \( \square \) 5 \( \square \) \( -55 \) Number of Solutions a. No Real Solution b. 2 neal sollutions c. 1 Real Solution Question Help: Video Past to forum

1. For a quadratic equation, the discriminant \( \Delta \) is given by \(\Delta = b^2 - 4ac\). 2. The number of real solutions is determined by the discriminant: - If \(\Delta > 0\), there are 2 distinct real solutions. - If \(\Delta = 0\), there is 1 real solution (a repeated root). - If \(\Delta < 0\), there are no real solutions. 3. Matching the given values: - For \(\Delta = 5\): since \(5 > 0\), there are 2 real solutions. - For \(\Delta = 0\): there is 1 real solution. - For \(\Delta = -55\): since \(-55 < 0\), there are no real solutions. 4. Thus, the matches are: - \( \Delta = \underline{0} \) corresponds to **c. 1 Real Solution**. - \( \Delta = \underline{5} \) corresponds to **b. 2 real solutions**. - \( \Delta = \underline{-55} \) corresponds to **a. No Real Solution**.