Mathematics
Grade10
Easy
Question
Find the number of solutions for the equation
.
- 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: 2
Step 1 of 1:
We have given a quadratic equation
.
Now,
![b to the power of 2 end exponent minus 4 a c equals open parentheses 5 close parentheses to the power of 2 end exponent minus 4 blank cross times blank 1 blank cross times blank 6](data:image/png;base64,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)
![equals 25 minus 24](data:image/png;base64,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)
, so, it has two real solutions
The discriminant is the part of the quadratic formula found within the square root.