Question

If the Product of two of the roots of
x} + kox? – 3x+4=0 is -1 then k=
​

Answer 1

Answer:

k = -4

Note:

★ The possible values of the variable which satisfy the given equation are called its roots.

★ The general form of a quadratic equation is ax² + bx + c = 0

★ If α and ß are the roots of the given quadratic equation ax² + bx + c = 0 , then ;

• Sum of roots , (α + ß) = -b/a

• Product of roots , (αß) = c/a

Solution:

Here,

The given quadratic equation is ;

kx² - 3x + 4 = 0

Clearly,

a = k

b = -3

c = 4

Also,

Let α and ß be the roots of the given quadratic equation.

Thus,

Product of roots of the given quadratic equation will be given as ;

=> αß = c/a

=> -1 = 4/k

=> -k = 4

=> k = -4

Hence,

The required value of k is (-4) .