Mathematics
Grade10
Easy
Question
What is the discriminant of
.
- 0
- -16
- -23
- 31
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: -16
Step 1 of 1:
We have given an equation
.
![b to the power of 2 end exponent minus 4 a c equals open parentheses negative 2 close parentheses to the power of 2 end exponent minus 4 blank cross times blank 1 blank cross times blank 5](data:image/png;base64,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)
![equals 4 minus 20](data:image/png;base64,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)
, so, it has no real solution
The discriminant is the part of the quadratic formula found within the square root.