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The real roots of what, exactly? If you mean a square trinomial, then:
If the discriminant is positive, the polynomial has two real roots.
If the discriminant is zero, the polynomial has one (double) real root.
If the discriminant is negative, the polynomial has two complex roots (and of course no real roots).
The discriminant is the term under the square root in the quadratic equation, in other words, b2 - 4ac.
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What is the difference between real solutions and real roots when dealing with discriminant?
There is no difference between real solutions and real roots.
A quadratic equation has how many real roots?
Quadratics can two, one or no real roots.
When the discriminant is greater than 0 how many real roots are there?
There will be 2 real roots
What does the discriminant tell us about the nature of the roots?
The equation ax^2 + bx + c = 0 where a, b and c are real and a is non-zero has discriminant D = b^2 – 4ac. Then,if D > 0 the equation has two real roots which are distinct;if D = 0 the equation has two real roots which are coincident;if D < 0 the equation has two roots which form a complex conjugate pair (advanced mathematics only).
What is Nature of the zeros of a quadratic function?
If you have a quadratic function with real coefficients then it can have: two distinct real roots, or a real double root (two coincidental roots), or no real roots. In the last case, it has two complex roots which are conjugates of one another.
If the roots are real then which type of vibrations will occur in damped systems?
real roots= Overdamped equal roots= critically damped complex roots /imaginary roots = Underdamped
What is the difference between real solutions and real roots when dealing with discriminant?
There is no difference between real solutions and real roots.
What can the discriminant tell you about a quadratic equation?
It can tell you three things about the quadratic equation:- 1. That the equation has 2 equal roots when the discriminant is equal to zero. 2. That the equation has 2 distinctive roots when the discriminant is greater than zero. £. That the equation has no real roots when the discriminant is less than zero.
What are all the real fourth roots of 0.0081?
The real fourth roots are -0.3 and 0.3
A quadratic equation has how many real roots?
Quadratics can two, one or no real roots.
When the discriminant is greater than 0 how many real roots are there?
There will be 2 real roots
What does the discriminant tell us about the nature of the roots?
The equation ax^2 + bx + c = 0 where a, b and c are real and a is non-zero has discriminant D = b^2 – 4ac. Then,if D > 0 the equation has two real roots which are distinct;if D = 0 the equation has two real roots which are coincident;if D < 0 the equation has two roots which form a complex conjugate pair (advanced mathematics only).
What is Nature of the zeros of a quadratic function?
If you have a quadratic function with real coefficients then it can have: two distinct real roots, or a real double root (two coincidental roots), or no real roots. In the last case, it has two complex roots which are conjugates of one another.
Are skew symmetric roots purely real or purely imaginary?
They can be either. If they are roots of a real polynomial then purely imaginary would be symmetric and only real roots can be skew symmetric.
What can be determined from roots of real numbers?
The short answer is "Nothing". In the complex domain, the number of nth roots of any real number is n. Every non-negative real number has 2 square roots. Every real number has 3 cube roots. Every non-negative real number has 2 real square roots and 2 imaginary ones. and so on. So what?
How can you tell how many solutions a quadratic equation will have without solving it?
A quadratic equation can have a maximum of 2 solutions. If the discriminant (b2-4ac) turns out to be less than 0, the equation will have no real roots. If the Discriminant is equal to 0, it will have equal roots. But, if the discriminant turns out to be more than 0,then the equation will have unequal and real roots.
What is the real number roots of the square root of 169?
There are two roots, both real: -13 and +13
