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When the discriminant is perfect square the answer to a quadratic equation will be?
Rational.
What is true of the disciminant when the two real numbers solutions to a quadratic equation are irrational numbers?
In that case, the discriminant is not a perfect square.
How do you formulate quadratic equation that can be solve by extracting square roots?
By using the quadratic equation formula
What are the methods use in solving quadratic equation?
By using the quadratic equation formula or by completing the square
What is true of the discriminant when the two real number solutions to a quadratic equation are rational numbers?
The discriminant must be a perfect square or a square of a rational number.
When the discriminant is perfect square the answer to a quadratic equation will be?
Rational.
Can the answer to a quadratic equation be a decimal?
Yes. You can calculate the two roots of a quadratic equation by using the quadratic formula, and because there are square roots on the quadratic formula, and if the radicand is not a perfect square, so the answer to that equation has decimal.
What is true about the solutions of a quadratic equation when the radicand of the quadratic formula is a perfect square?
The two solutions are coincident.
One example is a quadratic equation that in nonstandard form contains a perfect trinomial?
square
What is an equation that can be used in quadratic formula completing the square and factoring?
A quadratic equation.
Can you solve a quadratic equation by completing the square even though it is not a perfect square?
Yes, it won't be exact, but you can round the number to get a close estimate.
What is true of the disciminant when the two real numbers solutions to a quadratic equation are irrational numbers?
In that case, the discriminant is not a perfect square.
How do you formulate quadratic equation that can be solve by extracting square roots?
By using the quadratic equation formula
What are the methods use in solving quadratic equation?
By using the quadratic equation formula or by completing the square
What is true of the discriminant when the two real number solutions to a quadratic equation are rational numbers?
The discriminant must be a perfect square or a square of a rational number.
What is the shape of a quadratic equation?
Square
What equation results from completing the square and then factoring?
A quadratic equation
