Question

answer the following questions​

Answer 1

[3]

We are given a quadratic and a root, we have to find the value of m in the quadratic equation.

We have,

• x² + mx - 5 = 0
• One of the roots = 2

If 2 is the root of the quadratic equation then it would satisfy the equation which makes the equation zero.

⇒ p(2) = 0

⇒ (2)² + 2(m) - 5 = 0

⇒ 4 - 5 + 2m = 0

⇒ 2m = 1

⇒ m = 1/2

∴ Third option is correct.

[4]

We are given a quadratic equation whose roots are equal so we need to find the value of k in the quadratic equation.

➞ x² + kx + k = 0

Comparing the given quadratic equation with the standard form of quadratic equation i.e., ax² + bx + c = 0 , we get

• a = 1
• b = k
• c = k

The roots of a quadratic equation is equal only when the discriminant is 0.

⇒ b² - 4ac = 0

⇒ k² - 4k = 0

⇒ k - 4 = 0

⇒ k = 4

Hence, Second option is correct.

Answer 2

Answer:

que 3 .THIRD OPTION.

que4. SECOND OPTION