# Formulas for Algebra - Quadratic Equation or Algebra Questions - Quantitative Aptitude Quiz

## Formulas for Algebra

1. (a+b)2 = a2 + b2 + 2ab
or it can also be written as:
(a+b)2 = (a-b)2 + 4ab
2. (a-b)2 = a2 + b2 - 2ab
or it can also be written as:
(a-b)2 = (a+b)2 - 4ab
3. (a+b)3 = a3 + b3 + 3ab(a+b) = a3 + b3 + 3a2b + 3ab2
4. (a-b)3 = a3 - b3 - 3ab(a-b) = a3 - b3 - 3a2b + 3ab2
5. a3 + b3 = (a+b)3 - 3ab(a+b)
or it can also be written as:
a3 + b3 = (a+b) (a2-ab+b2)
6. a3 - b3 = (a-b)3 + 3ab(a-b)
or it can also be written as:
a3 - b3 = (a-b) (a2+ab+b2)
7. a2 - b2 = (a-b)(a+b)
8. am * an = am+n
9. am / an = am-n
10. (a/b)(m/n) = (b/a)-(m/n)
11. am / b-n = am * bn

## Quadratic Equations or Algebra Aptitude Problems

• x² – 34x + 288 = 0
y² – 28y + 192 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y

• Answer: C. X ≥ Y
Explanation:
x² – 34x + 288 = 0
x = 18, 16
y² – 28y + 192 = 0
y = 12, 16

• x² – 26x + 168 = 0
y² – 32y + 252 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y

• Answer: D. X ≤ Y
Explanation:
x² – 26x + 168 = 0
x = 12, 14
y² – 32y + 252 = 0
y = 14, 18

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More than 1000+ detailed question and answers

• x² + 26x + 168 = 0
y² + 23y + 132 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y

• Answer: D. X ≤ Y
Explanation:
x² + 26x + 168 = 0
x = -12, -14
y² + 23y + 132 = 0
y = -12, -11

• x² – 44x + 448 = 0
y² – 28y + 195 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y

• Answer: A. X > Y
Explanation:
x² – 44x + 448 = 0
x = 28, 16
y² – 28y + 195 = 0
y = 13, 15
• x² – 26x + 168 = 0
y² – 34y + 285 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y

• Answer: B. X < Y
Explanation:
x² – 26x + 168 = 0
x = 12, 14
y² – 34y + 285 = 0
y = 15, 19

• x² – 38x + 352 = 0
y² – 25y + 154 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y

• Answer: A. X > Y
Explanation:
x² – 38x + 352 = 0
x = 22, 16
y² – 25y + 154 = 0
y = 11, 14

• x² = 121
y² – 46y + 529 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y

• Answer: B. X < Y
Explanation:
x² = 121
x = 11, – 11
y² – 46y + 529 = 0
y = 23, 23
• x² + 29x + 208 = 0
y² + 19y + 78 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y

• Answer: D. X ≤ Y
Explanation:
x² + 29x + 208 = 0
x = -13, -16
y² + 19y + 78 = 0
y = -13, -6

• x² – 41x + 400 = 0
y² – 29y + 210 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y

• Answer: A. X > Y
Explanation:
x² – 41x + 400 = 0
x = 25, 16
y² – 29y + 210 = 0
y = 14, 15

• x² – 25x + 156 = 0
y² – 32y + 255 = 0
A. X > Y
B. X < Y
C. X ≥ Y
D. X ≤ Y

• Answer: B. X < Y
Explanation:
x² – 25x + 156 = 0
x = 12, 13
y² – 32y + 255 = 0
y = 15, 17