Question

n Exercises 73-96, use the Quadratic Formula to solve the equation. 74. 2x²-x-1=0 73. 2x² + x-1=0 75. 16x² + 8x - 30 (77.2 + 2x - x² = 0 76. 25x² 20x + 3 = 0 H 78. x² 10x + 22 = 0 80. 4x8x² 82. 2x²-3x - 4 = 0 84.9x² - 37 = 6x S 79. x² + 12x + 16 = 0 81. x² + 8x - 4 = 0 83. 12x9x² = -3 85 9x² + 30x + 25 = 0 87. 4x² + 4x = 7 89. 28x49x² = 4 91. 8 = 5+21² (93.) (y 5)² = 2y 95. x² + x = 2 86. 36x² + 24x - 7 = 0 88. 16x² 40x + 5 = 0 90. 3x + x²-1=0 www. 92. 25h² + 80h + 61 = 0 94 (z + 6)² = −2₂ 96. (¾x – 14)² 8r

Answer 1

To solve the given quadratic equations using the Quadratic Formula, we substitute the values of a, b, and c into the formula and solve for x. The solutions for each equation are found by applying the formula step by step.

Step-by-step explanation:

To solve the given quadratic equations, we can use the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a. Then applying this formula to each equation, we can find the solutions for x. Let's go through each problem step by step:

74. 2x²-x-1=0: a = 2, b = -1, c = -1. Substituting these values into the quadratic formula: x = (-(-1) ± √((-1)² - 4 * 2 * (-1))) / (2 * 2). Solving this equation, we get x = 1, x = -0.5.

73. 2x² + x-1=0: a = 2, b = 1, c = -1. Substituting these values into the quadratic formula: x = (-1 ± √((1)² - 4 * 2 * (-1))) / (2 * 2). Solving this equation, we get x = 1, x = -0.5.

75. 16x² + 8x - 30 = 0: a = 16, b = 8, c = -30. Substituting these values into the quadratic formula: x = (-8 ± √((8)² - 4 * 16 * (-30))) / (2 * 16). Solving this equation, we get x = 1.5, x = -2.