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Mathematics

Grade10

Easy

Question

Find the discriminant of the quadratic equation $x squared minus 2 x plus 3 equals 0$ .

- 6
- 8
- 7
- 9

The correct answer is: - 8

for a given equation :
ax²+bx+c=0
D(discriminant)=b²-4(a)(c)
In the given equation $x squared minus 2 x plus 3 equals 0$ .
a=1
b=-2
c=3
D=(-2)²-4(1)(3)
D=4-12=-8
D is -8 ,D<0 this means the given equation have no real roots

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