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What else can I help you with?
When the discriminant is perfect square the answer to a quadratic equation will be?
Rational.
Is the equation 3y plus y2 - 10 a perfect square?
Without an equality sign the given expression can't be considered to be an equation but if it equals to 0 then its solutions would be y = 2 or y = -5 which is not a perfect square
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.
One example is a quadratic equation that in nonstandard form contains a perfect trinomial?
square
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 about the solutions of a quadratic equation when the radicand of the quadratic formula is a perfect square?
The two solutions are coincident.
How do you figure out if a quadratic equation is a perfect square?
There are many ways: one is to factorise. If the quadratic is written as ax2 + bx + c then, if b2 = 4ac, the quadratic is a perfect square. It is (x - b/2a)2
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 value of b makes the polynomial x2 - bx plus 25 a perfect square?
27
What is a perfect square and perfect cubed number?
To find a number that is both a perfect square and a perfect cube, we must solve x2 = x3 over x ∈Z+. The only two solutions to this equation are 0 and 1, or x = {0,1}. Therefore, zero and one are the only two numbers that are both perfect squares and perfect cubes. --In easier terms: a perfect square is a number that can be "square rooted" and have no remainder. Like, 144. The square root is 12 therefore 144 is a perfect square. A perfect Cube is the same except that it must be "cubed rooted". Like 27. The cube root of this number is 3 therefore 27 is a perfect cube.
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.
Is 200 a perfect square?
200 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.
