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Use the discriminant to determine the real roots How many roots are in this problemx2 plus 2x plus 5 equals 0?
Wiki User
∙ 13y ago
x2 + 2x + 5 = 0 is already in the form ax2 + bx + c = 0 so to find the discriminant, D, you use
D = b2 - 4ac
Then if D is greater than 0 the equation has 2 real roots; if D = 0 the equation has one real root and if D is less than 0 the equation has no real roots. So to check this we work out D but we need to know what a, b and c are. From the equation we can see that
a = 1
b = 2
c = 5
so putting these values in to find D:
D = (2)2 - 4(1)(5) = 4 - 20 = -16
so the equation x2 + 2x + 5 = 0 has no real roots.
Wiki User
∙ 13y ago
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Use the quadratic equation y equals x2 plus 3x plus 9 Calculate the discriminant to determine the number of real roots?
The discriminant is -27 and so there are no 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!
Use the discriminant to determine how many real number solutions the quadratic equation -4j to the second power plus 3j - 28 equals 0 has?
It has no real roots.
How does the discriminant affect the roots of a quadratic equation?
If the discriminant is negative, the roots will be two unreal complex conjugates. If the discriminate is positive the roots will be real.
What are quadratic equations with real roots?
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
What use the discriminant to determine the nature of the roots of x2 plus 2x plus 5 equals 0?
No real roots
Use the quadratic equation y equals x2 plus 3x plus 9 Calculate the discriminant to determine the number of real roots?
The discriminant is -27 and so there are no real roots.
What is a discriminant in a quadratic equation?
General form of a quadratic equation is: ax2+b+c = 0 The discriminant is: b2-4ac If the discriminant equals zero then there are two equal roots If the discriminant is greater than zero then there are two different roots If the discriminant is less than zero then there are no 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!
Use the discriminant to determine how many real number solutions the quadratic equation -4j to the second power plus 3j - 28 equals 0 has?
It has no real roots.
In the quadratic equation ax2 plus bx plus c 0 if b2 - 4ac?
If you mean b^2 -4ac then it is the discriminant of a quadratic equation. If the discriminant equals 0 then the equation has 2 equal roots. If the discriminant is greater than 0 then the equation has 2 different roots. If the discriminant is less than 0 then it has no real roots.
What are 3 outcomes for the discriminant?
If the discriminant of a quadratic equation is zero then it has equal roots. If the discriminant is greater than zero then there are two different roots. If the discriminant is less than zero then there are no real 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.
How does the discriminant affect the roots of a quadratic equation?
If the discriminant is negative, the roots will be two unreal complex conjugates. If the discriminate is positive the roots will be real.
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 are quadratic equations with real roots?
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
How many real roots exist if the discriminant of the eqation0?
If the discriminant of a quadratic equation is 0 then it has two equal real roots.
