Mathematics
Grade10
Easy
Question
How many solutions are there for the equation 3
using discriminant?
- 0
- 1
- 2
- Either 1 or 2.
Hint:
Any equation of the form p (x) = 0, where p (x) is a polynomial of degree 2, is a quadratic equation
The correct answer is: 0
Step 1 of 1:
We have given an equation 3![x to the power of 2 end exponent plus 9 x plus 8 equals 0](data:image/png;base64,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)
Now,
![b to the power of 2 end exponent minus 4 a c equals 9 to the power of 2 end exponent minus 4 blank cross times blank 3 blank cross times blank 8](data:image/png;base64,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)
![equals negative 15 less than 0](data:image/png;base64,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)
The discriminant value is less than zero, so it has no real solution.
The discriminant is the part of the quadratic formula found within the square root.