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Solve the equation Find all roots real and complex of x³ plus 343 equals 0?
Wiki User
∙ 14y ago
x3 + 343 = 0
(x + 7)(x2 - 7x + 49) = 0
So x = -7 or x = [7 +/- sqrt(-147)]/2
The latter two roots are [7 +/- 7i*sqrt(3)]/2
or 7/2*[1 +/- i*sqrt(3)]
Wiki User
∙ 14y ago
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What are complex root?
The complex roots of an equation are the complex numbers that are solutions to the equation.
How do you solve a quadratic equation graphically?
The roots of the quadratic equation are the x-intercepts of the curve.
How do you formulate quadratic equation that can be solve by extracting square roots?
By using the quadratic equation formula
What roots of the quadratic equation are equivalent to xx-x-12 equals 0?
-4,3 are the roots of this equation, so for the values for which the sum of roots is 1 & product is -12
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 complex root?
The complex roots of an equation are the complex numbers that are solutions to the equation.
Roots of the equation x 2 plus 5x plus 7 equals 0 will be?
There are no real root. The complex roots are: [-5 +/- sqrt(-3)] / 2
If the discriminant is negative the equation has?
No real roots but the roots are a pair of complex conjugates.
How many complex roots does 6x4 plus x3 - 5 equals 0 have?
It has two complex roots.
How do you solve a quadratic equation graphically?
The roots of the quadratic equation are the x-intercepts of the curve.
How do you formulate quadratic equation that can be solve by extracting square roots?
By using the quadratic equation formula
Why do you use square roots to solve quadratic equations?
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
What are the compex roots in mathematics?
The complex roots of an equation is any solution to that equation which cannot be expressed in terms of real numbers. For example, the equation 0 = x² + 5 does not have any solution in real numbers. But in complex numbers, it has solutions.
What roots of the quadratic equation are equivalent to xx-x-12 equals 0?
-4,3 are the roots of this equation, so for the values for which the sum of roots is 1 & product is -12
What is the number and type of roots of the equation x2-4x-32 equals 0?
There are 2 roots to the equation x2-4x-32 equals 0; factored it is (x-8)(x+4); therefore the roots are 8 & -4.
What is x2 -2x plus 2 equals 0?
It is a quadratic equation with no real roots or real solutions. In the complex domain, the solutions are 1 +/- i where i is the imaginary square root of -1.
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.
