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pav-90 [236]
3 years ago
8

Use the Discriminant to describe the roots of each equation. Then select the best description.

Mathematics
2 answers:
TiliK225 [7]3 years ago
8 0
The discriminant is the part under the sqrt in the quadratic formula
for ax²+bx+c, the discriminant is b²-4ac


if the discriminant is
less than 0, then there are non-real roots
equal to 0, then there is a double root
greater than 0, then there are 2 real roots (may be rational or irrational)

so

1x²-5x+7

b²-4ac=(-5)²-4(1)(7)=25-28=-3
less than 0 so it is non real roots

answer is D
Katyanochek1 [597]3 years ago
4 0
In a equation in the form ax^2+bx+c=0, the discriminant is \Delta=b^2-4ac. In this question:

\Delta=(-5)^2-4\cdot1\cdot7\iff \Delta=25-28\iff\Delta=-3

If \Delta, there are no real roots. Option~D
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