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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.
How many roots can a quadratic function have in total?
A quadratic function can have up to two roots. Depending on the discriminant (the expression under the square root in the quadratic formula), it can have two distinct real roots, one repeated real root, or no real roots at all (in which case the roots are complex). Therefore, the total number of roots, considering both real and complex, is always two.
What are the roots of quadratic equation?
That depends on the value of its discriminant if its less than zero then it has no 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 the difference between real solutions and real roots when dealing with discriminant?
There is no difference between real solutions and real roots.
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.
How many x-intercepts does a quartic polynomial function having 4 distinct real roots have?
Each distinct real root is an x-intercept. So the answer is 4.
What is true about a quadratic equation when the discriminant of the equation is positive?
It will then have 2 different roots If the discriminant is zero than it will have have 2 equal roots
What are the roots of quadratic equation?
That depends on the value of its discriminant if its less than zero then it has no real roots.
How do you find the discriminant and number of real solutions to a quadratic equation?
To find the discriminant of a quadratic equation in the form ax^2 + bx + c = 0, you use the formula Δ = b^2 - 4ac. The discriminant helps determine the nature of the roots: if Δ > 0, there are two distinct real roots; if Δ = 0, there is one real root (a repeated root); and if Δ < 0, there are no real roots (two complex conjugate roots). The number of real solutions is directly related to the discriminant's value.
What are roots if value of discriminant is greater than zero?
real and unequal
How many real roots does the equation 2x2-5x-3 equals 0 have?
2x2 - 5x - 3 = 0 A quadratic equation expressed in the form ax2 + bx + c = 0 has two real and distinct roots when b2 - 4ac is positive. Using the figures from the supplied equation then b2 - 4ac = 52 - (4 x 2 x -3) = 25 + 24 = 49. Therefore there are TWO real and distinct roots.
Using the word discriminant in sentence?
The discriminant of a quadratic equation helps determine the nature of its roots - whether they are real and distinct, real and equal, or imaginary.
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).
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 is the discriminant of a quartic equation and how can you determine the real and complex roots from the value of the discriminant?
Child stop trying to cheat on your homework!
