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1 year ago

If the discriminant, b^2-4ac is ___, a quadratic will have two real roots, two points of intersection with the x-axis.

Mathematics

1 answer:

den301095 [7]1 year ago

6 0

If the discriminant, b² - 4ac is<u> positive</u>

<h3>How to complete the statement?</h3>

From the question, we have the following equation of discriminant

The discriminant (d) is calculated as

d = b² - 4ac

The solutions of a quadratic equation are dependent on the following conditions

If d = 0, the quadratic equation has 1 real solution
If d < 0, the quadratic equation has imaginary solutions
If d > 0, the quadratic equation has 2 different real solutions

This means that "d > 0, the quadratic equation has 2 different real solutions" implies that the discriminant is positive

Hence, the complete statement is (b) positive

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Define x:
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Let the number be x

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Construct Equation :
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x- 18 = 7x

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Take away x from both sides :
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-18 = 7x - x

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Combine like terms :
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Switch sides :
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Divide by 6 on both sides :
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x = -3

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Answer; The number is -3.
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