Quadratic Equation - MCQ 1 - Mechanical Engineering MCQ

x² – 34x + 288 = 0
x = 18, 16
y² – 28y + 192 = 0
y = 12, 16

x² – 26x + 168 = 0
x = 12, 14
y² – 32y + 252 = 0
y = 14, 18

x² + 26x + 168 = 0
x = -12, -14
y² + 23y + 132 = 0
y = -12, -11

x² – 28x + 195 = 0
x = 15, 13
y² – 30y + 216 = 0
y = 18, 12

There are 3 primary methods to solve a quadratic equation:

• Factoring: Express the quadratic as a product of binomials and set each binomial to zero.
• Quadratic Formula: Use the formula \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \) where \( ax^2 + bx + c = 0 \).
• Completing the Square: Rearrange the equation to form a perfect square trinomial, then solve for \( x \).

x² – 44x + 448 = 0
x = 28, 16
y² – 28y + 195 = 0
y = 13, 15

x² – 26x + 168 = 0
x = 12, 14
y² – 34y + 285 = 0
y = 15, 19

x² – 38x + 352 = 0
x = 22, 16
y² – 25y + 154 = 0
y = 11, 14

x² = 121
x = 11, – 11
y² – 46y + 529 = 0
y = 23, 23

x² – 31x + 234 = 0
x = 13, 18
y² – 34y + 285 = 0
y = 15, 19

x² – 32x + 252 = 0
x = 18, 14
y² – 28y + 192 = 0
y = 12, 16

x² – 32x + 247 = 0
x = 13, 19
y² – 22y + 117 = 0
y = 13, 9

x² + 29x + 208 = 0
x = -13, -16
y² + 19y + 78 = 0
y = -13, -6

x² – 22x + 105 = 0
x = 15, 7
y² – 27y + 162 = 0
y = 18, 9

x² – 36x + 324 = 0
x = 18, 18
y² = 324
y = ±18

x² – 41x + 400 = 0
x = 25, 16
y² – 29y + 210 = 0
y = 14, 15

x² – 25x + 156 = 0
x = 12, 13
y² – 32y + 255 = 0
y = 15, 17

x² – 35x + 294 = 0
x = 21, 14
y² – 23y + 132 = 0
y = 11, 12

x² = 64
x = 8, – 8
y² – 34y + 289 = 0
y = 17, 17

x² – 29x + 208 = 0
x = 13, 16
y² – 32y + 255 = 0
y = 15, 17