If the product of the roots of the equation X cube - 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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mahakmeena79879 Expert
It means alpha *bita = c/a
-2=k-10/1
-2+10= k
8 = k
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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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