Question

If the product of the roots of the equation X cube minus 3 X + K is equal to 10 is minus 2 then the value of k is

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Secondary School Math 5 points

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

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Answers

mahakmeena79879 Expert

It means alpha *bita = c/a

-2=k-10/1

-2+10= k

8 = k

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genius

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pinquancaro Virtuoso

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.

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