MCQ Academy - English

If α and β are roots of x^2 – (4)x + (-12) = 0, find α^2 + β^2.

• 40
• 45
• 136
• -8

If α and β are roots of x^2 – (10)x + (25) = 0, find α^2 + β^2.

• 50
• 150
• 605
• 61

If α and β are roots of x^2 – (-5)x + (-14) = 0, find α^2 + β^2.

• 59
• 206
• 53
• -3

If α and β are roots of x^2 – (11)x + (24) = 0, find α^2 + β^2.

• 169
• 73
• 85
• 554

If α and β are roots of x^2 – (-2)x + (-24) = 0, find α^2 + β^2.

• 55
• 580
• 52
• -44

If α and β are roots of x^2 – (-6)x + (5) = 0, find α^2 + β^2.

• 26
• 46
• 37
• 33

If α and β are roots of x^2 – (11)x + (18) = 0, find α^2 + β^2.

• 97
• 302
• 85
• 157

If α and β are roots of x^2 – (4)x + (-21) = 0, find α^2 + β^2.

• 63
• -26
• 433
• 58

For the quadratic equation x^2 + (8)x + 10 = 0, determine the nature of its roots.

• one rational and one irrational root
• no real root
• two distinct real roots
• two equal real roots

For the quadratic equation x^2 + (7)x + 9 = 0, determine the nature of its roots.

• two equal real roots
• two distinct real roots
• no real root
• one rational and one irrational root

For the quadratic equation x^2 + (6)x + 8 = 0, determine the nature of its roots.

• no real root
• two distinct real roots
• one rational and one irrational root
• two equal real roots

For the quadratic equation x^2 + (5)x + 7 = 0, determine the nature of its roots.

• one rational and one irrational root
• no real root
• two equal real roots
• two distinct real roots

For the quadratic equation x^2 + (4)x + 6 = 0, determine the nature of its roots.

• no real root
• two equal real roots
• two distinct real roots
• one rational and one irrational root

For the quadratic equation x^2 + (3)x + 5 = 0, determine the nature of its roots.

• no real root
• two equal real roots
• one rational and one irrational root
• two distinct real roots

For the quadratic equation x^2 + (2)x + 4 = 0, determine the nature of its roots.

• two equal real roots
• two distinct real roots
• no real root
• one rational and one irrational root

For the quadratic equation x^2 + (1)x + 3 = 0, determine the nature of its roots.

• no real root
• two equal real roots
• two distinct real roots
• one rational and one irrational root

For the quadratic equation x^2 + (0)x + 2 = 0, determine the nature of its roots.

• two equal real roots
• two distinct real roots
• one rational and one irrational root
• no real root

For the quadratic equation x^2 + (-1)x + 1 = 0, determine the nature of its roots.

• two distinct real roots
• no real root
• one rational and one irrational root
• two equal real roots

For the quadratic equation x^2 + (-2)x + 0 = 0, determine the nature of its roots.

• two equal real roots
• no real root
• one rational and one irrational root
• two distinct real roots

For the quadratic equation x^2 + (-3)x + -1 = 0, determine the nature of its roots.

• no real root
• two equal real roots
• one rational and one irrational root
• two distinct real roots