If the discriminant of an equation is positive, which of the following is true of the equation

Mathematics

2 answers:

lions [1.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

Strike441 [17]3 years ago

5 0

Answer:

C it has two real solutions

Step-by-step explanation:

If the discriminant of a quadratic equation is positive, it means that the graph intersects the x-axis, and hence produces two real solutions.

If the discriminant is zero, then the graph is tangential to the x-axis, and there will be two real <em>coincident</em> solutions.

If the discriminant is negative, then there are two complex solutions.

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Step-by-step explanation:

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X = 1 + root 2 , find the value of (x - 1/x )^3

steposvetlana [31]

Answer:

$(\sqrt{2})^3$

Step-by-step explanation:

Given the expression

$(x - \frac{1}{x} )^3$

Simplify

$(\frac{x^2-x}{x} )^3$

Given that x = 1+√2

Substitute

$(\frac{(1+\sqrt{2} )^2-(1+\sqrt{2} )}{1+\sqrt{2} } )^3\\=( \frac{1+2\sqrt{2} +2 - 1 - \sqrt{2}}{1+\sqrt{2}} )^3\\= (\frac{\sqrt{2}+2}{1+\sqrt{2}})^3 \\Rationalize\\= (\frac{\sqrt{2}-2+2-2\sqrt{2}}{1-2})^3 \\=( \frac{-\sqrt{2}}{-1})^3 \\= (\sqrt{2})^3\\ \\$