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For a quadratic equation of the form y = ax^2 + bx + c where a, b and c are real and a is non-zero, b^2 - 4ac enables you to distinguish between the following three possible outcomes:
- b^2 - 4ac > 0 => the equation has two real roots which are different,
- b^2 - 4ac = 0 => the equation has two real root which are coincident,
- b^2 - 4ac < 0 => the equation has two roots which form a complex conjugate pair.
What else can I help you with?
What is the equation for finding the discriminant?
The discriminant of the quadratic polynomial ax2 + bx + c is b2 - 4ac.
What is the value of b2-4ac equal to 0?
It is the value of the discriminant of a quadratic equation.
When the roots are equal of a quadratic equation?
Write the quadratic equation in the form ax2 + bx + c = 0 The roots are equal if and only if b2 - 4ac = 0. The expression, b2-4ac is called the [quadratic] discriminant.
What is the discriminant of y6x squire x-1?
y = 6x2 + x -1 ?? discriminant = b2 - 4ac = 12 - 4(6)(-1) = 25
What type of equation is b2-4ac?
6
How do you tell if a discriminant is positive negative or zero?
With the standard notation, If b2 < 4ac then the discriminant is negative If b2 = 4ac then the discriminant is zero If b2 > 4ac then the discriminant is positive
What is the formula of the discriminant?
b2-4ac.
How do you find the discriminant of a polynomial?
The discriminant of the quadratic equation ax2+bx+c = 0 is the value of b2-4ac When b2-4ac = 0 then there are 2 equal roots. When b2-4ac > 0 then there are 2 different roots. When b2-4ac < 0 then there are no roots at all.
The discriminant in the quadratic formula is the expression?
b2-4ac
What is the equation for finding the discriminant?
The discriminant of the quadratic polynomial ax2 + bx + c is b2 - 4ac.
What is the discriminant of a quadratic function?
The form of the quadratic is ax2+bx+c, so the discriminant is b2-4ac.
When can you say that he discriminant don't have roots?
If the discriminant b2-4ac of a quadratic equation is less than zero then it will have no roots
What is the value of b2-4ac equal to 0?
It is the value of the discriminant of a quadratic equation.
What is the expression b2 4ac under the radical sign in the quadratic formula?
The discriminant.
When the roots are equal of a quadratic equation?
Write the quadratic equation in the form ax2 + bx + c = 0 The roots are equal if and only if b2 - 4ac = 0. The expression, b2-4ac is called the [quadratic] discriminant.
Why if the discriminant is zero is there no solution to the quadratic equation?
But there will be a solution if the discriminant is equal to zero: Real and different roots if b2-4ac > 0 Real and equal roots if b2-4ac = 0 But no real roots if b2-4ac < 0 in other words the graph wont make contact with or intercept the x axis.
What is the discriminant of 4x2-2x plus 4 equals 0?
Discriminant = b2-4ac = (-2)2-(4*4*4) = -60
