Which compound inequality has no solution? –2 < x and 2x + 6 < 14 4 < x and 6x – 11 < 14 10 < x and 2x – 3 < 1
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ANSWER
The discriminant is zero.
The given equation has one real root.
EXPLANATION
The given quadratic equation is:
We rewrite this in the form;
This means that,
a=-2, b= 8, c=-8
The discriminant is given by;
D=b² - 4ac
That is:
Therefore the discriminant is zero.
This tells us that the quadratic equation has one real root.
In order words, the given quadratic equation has a repeated real root.