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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.
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How many complex roots does 6x4 plus x3 - 5 equals 0 have?
It has two complex roots.
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A cubic has from 1 to 3 real solutions. The fact that every cubic equation with real coefficients has at least 1 real solution comes from the intermediate value theorem. The discriminant of the equation tells you how many roots there are.
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There are infinitely many answers and they comprise the coordinates of all points on the line that satisfy the equation.
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There must be fewer independent equation than there are variables. An equation in not independent if it is a linear combination of the others.
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It has the following solutions.
How many roots does a quadratic equation?
2 roots
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How many roots does y equals x2-2x plus 1?
normally an equation with the x value squared there would be two roots. the two roots are positive 1 and postitive 1. since they are they same number there is actually only one root.
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Quadratics can two, one or no real roots.
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 many real roots do we have if the polynomial equation is in degree six?
Such an equation has a total of six roots; the number of real roots must needs be even. Thus, depending on the specific equation, the number of real roots may be zero, two, four, or six.
When the graph of a quadratic equation has its turning point on the x-axis how many roots does it have?
It will have two equal roots.
How many roots does y equals x2 - 2x plus 1 have It may help to graph the equation?
Factors are (x - 1)(x - 1) so only one root.
How many roots does the equation 3 x plus 7 have?
That is not an equation, since it doesn't have an equal sign.
How many roots does y equals x2 - 2x plus 5 have?
The equation [ y = x2 - 2x + 5 ] has an infinite number of solutions,corresponding to every point on the graph of it.The ROOTS corresponding to the two values of 'x' that satisfy the equation when y=0 ...in other words, the points where the graph crosses the x-axis.In the particular case of this equation, the graph doesn't cross the x-axis at all,and the roots are not real numbers. There are still two of them, and they arecomplex conjugates.The roots areX = 1 ± 2 i
How many complex roots does 6x4 plus x3 - 5 equals 0 have?
It has two complex roots.
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.
