Question

if the product of the roots of the equation X square - 3 x + K is equal to 10 is minus 2 then the value of k is

Answer 1

It means alpha *bita = c/a
-2=k-10/1
-2+10= k
8 = k

Answer 2

The value of k is 1.

Step-by-step explanation:

Given : If the product of the roots of the equation $x^2-3x+k=10$ is minus 2

To find : The value of k ?

Solution :

The product of roots of the quadratic equation is $\alpha \beta=\frac{c}{a}$.

In equation $x^2-3x+k=10$,

Here, a=1, b=-3 and c=k

The product of roots is $\alpha \beta=2$

Substitute the values,

$2=\frac{k}{1}$

$k=1$

Therefore, the value of k is 1.

#Learn more

1. Fill in the blanks:-

(a) If the quadratic equation x2 - 2x + k = 0 has equal roots, then value of k is .....

(b) If the product of the roots of the equation x2 - 3x + k = 0 is - 2 then the value of k is

(c) If the sum of the roots of a quadratic equation is 6 and their product is 6, then the equation is

(d) The ratio of the sum and product of the roots of the equation 7x2 - 12x + 18 is ....

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