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Which equation has imaginary roots a.x2-1 equals 0 b.x2-2 equals 0 c.x2 plus x plus 1 equals 0 d.x2-x-1 equals 0?
Wiki User
∙ 13y ago
To find which has imaginary roots, use the discriminant of the quadratic formula (b2 - 4ac) and see if it's less than 0. (The quadratic formula corresponds to general form of a quadratic equation, y = ax2 + bx + c)
A) x2 - 1 = 0
= 0 - 4(1)(-1) = 4
Therefore, the roots are not imaginary.
B) x2 - 2 = 0
= 0 - 4(1)(-2) = 8
Therefore, the roots are not imaginary.
C) x2 + x + 1 = 0
= 1 - 4(1)(1) = -3
Therefore, the roots are imaginary.
D) x2 - x - 1 = 0
= 1 - 4(1)(-1) = 5
Therefore, the roots are not imaginary.
The equation x2 + x + 1 = 0 has imaginary roots.
Wiki User
∙ 13y ago
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What is a real root?
In the context of algebra, the term real root refers to the solution to an equation which consists of a real number rather than an imaginary or complex number (a complex number being a combination of real and imaginary numbers). You may recall that any given equation will have the same number of roots (or solutions) as the highest exponent in the equation, so that if you are dealing with x squared, you have two roots. Often there would be one real root and one imaginary root. In general, the real roots are more useful, although there are some circumstances in which imaginary or complex roots are also relevant to what you are doingl.
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What is a real root?
In the context of algebra, the term real root refers to the solution to an equation which consists of a real number rather than an imaginary or complex number (a complex number being a combination of real and imaginary numbers). You may recall that any given equation will have the same number of roots (or solutions) as the highest exponent in the equation, so that if you are dealing with x squared, you have two roots. Often there would be one real root and one imaginary root. In general, the real roots are more useful, although there are some circumstances in which imaginary or complex roots are also relevant to what you are doingl.
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What is the product of the roots of the equation 2xsquare-x-2 equals 0?
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It has roots x = 2.618 and x = 0.38197
When do you use the quadratic formula?
When you need to find the roots of a quadratic equation and factorisation does not work (or you cannot find the factors). The quadratic equation ALWAYS works. And when appropriate, it will give the imaginary roots which, judging by this question, you may not yet be ready for.
