Remember to show all work and use correct notation to earn full credit.
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 = 0
2. 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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