Remember to show all work and use correct notation to earn full credit.1.Solve the following quadratic equation for x: 2x 2 ? 5x + 7 = 02. Among all pairs of numbers whose difference is 28, find the pair whose product is minimum. What is the minimum product?3. (a) Solve the following quadratic equation for x: x 2 ? 7x + 10 = 0 (b) (4 points) Use your answer from part (a) to help solve the following quadratic inequality: x 2 ? 7x + 10 ? 0 Sketch a graph of your solution on a horizontal number line. Express your solution using interval notation.4. Solve the following radical equation for x: ? 17 ? x ? 3 = x Remember to check your solutions! If there are no solutions, state NO SOLUTIONS.5. Solve the following rational equation for x: 1 x ? 6 + x x ? 2 = 4 x 2 ? 8x + 12 Hint: Factor the quadratic denominator. Remember to check your solutions! If there are no solutions, state NO SOLUTIONS.
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