Review each question and reveal answers to strengthen your understanding
1Find the roots of the quadratic equation: x2 + 2x - 15 = 0?
✅ Correct Answer: 1
2Find the roots of the quadratic equation: 2x2 + 3x - 9 = 0?
✅ Correct Answer: 2
3The roots of the equation 3x2 - 12x + 10 = 0 are?
✅ Correct Answer: 4
4 If the roots of a quadratic equation are 20 and -7, then find the equation?
✅ Correct Answer: 3
5The sum and the product of the roots of the quadratic equation x2 + 20x + 3 = 0 are?
✅ Correct Answer: 4
6 If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b?
✅ Correct Answer: 1
7 The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
✅ Correct Answer: 1
8One root of the quadratic equation x2 - 12x + a = 0, is thrice the other. Find the value of a?
✅ Correct Answer: 4
9. The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
✅ Correct Answer: 2
10If a and b are the roots of the equation x2 - 9x + 20 = 0, find the value of a2 + b2 + ab?
✅ Correct Answer: 3
11Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 8x + 4 = 0?
✅ Correct Answer: 2
12ind the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0?
✅ Correct Answer: 2
13 A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?
✅ Correct Answer: 1
14. I. a2 - 7a + 12 = 0,
II. b2 - 3b + 2 = 0 to solve both the equations to find the values of a and b?
✅ Correct Answer: 4
15. I. a2 - 7a + 12 = 0,
II. b2 - 3b + 2 = 0 to solve both the equations to find the values of a and b?
✅ Correct Answer: 4
16I. a2 - 9a + 20 = 0,
II. 2b2 - 5b - 12 = 0 to solve both the equations to find the values of a and b?
✅ Correct Answer: 4
17I. a2 + 11a + 30 = 0,
II. b2 + 6b + 5 = 0 to solve both the equations to find the values of a and b?
✅ Correct Answer: 2
18 I. a2 - 2a - 8 = 0,
II. b2 = 9 to solve both the equations to find the values of a and b?
✅ Correct Answer: 3
19 I. x2 + 5x + 6 = 0,
II. y2 + 9y +14 = 0 to solve both the equations to find the values of x and y?
✅ Correct Answer: 3
20I. x2 - x - 42 = 0,
II. y2 - 17y + 72 = 0 to solve both the equations to find the values of x and y?
✅ Correct Answer: 1
21I. x2 + 3x - 18 = 0,
II. y2 + y - 30 = 0 to solve both the equations to find the values of x and y?
✅ Correct Answer: 4
22 I. x2 + 11x + 30 = 0,
II. y2 + 15y + 56 = 0 to solve both the equations to find the values of x and y?
✅ Correct Answer: 2
23 I. 9a2 + 18a + 5 = 0,
II. 2b2 + 13b + 20 = 0 to solve both the equations to find the values of a and b?
✅ Correct Answer: 1
24 I. a3 - 988 = 343,
II. b2 - 72 = 49 to solve both the equations to find the values of a and b?
✅ Correct Answer: 2
25I. a2 - 13a + 42 = 0,
II. b2 - 15b + 56 = 0 to solve both the equations to find the values of a and b?
✅ Correct Answer: 4
26Find the roots of quadratic equation: 2x2 + 5x + 2 = 0?
✅ Correct Answer: 1
27 Find the roots of quadratic equation: x2 + x - 42 = 0?
✅ Correct Answer: 4
28Find the roots of quadratic equation: 3x2 - 7x - 6 = 0?