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How do you find a cubic equation with integral coefficients that has the roots -3 and 5 minus i?
If the equation has real coefficients, and 5 - i is a root, then its conjugate, 5 + i must be a root.
Since 5 - i and 5 + i are roots, then (x - 5 + i) and (x - 5 - i) are factors.
That means x2 - 10x + 26 is a factor.
The other root is x = -3 so x + 3 is the other factor.
So the cubic is (x + 3)*(x2 - 10x + 26) = 0
That is x3 - 7x2 - 4x + 78 = 0
What else can I help you with?
What is the integral of the square root of x minus 1 squared?
the integral of the square-root of (x-1)2 = x2/2 - x + C
What minus 9 equals 16?
To solve the equation "x - 9 = 16," we need to isolate the variable x. Adding 9 to both sides of the equation, we get x = 16 + 9. Therefore, x = 25. So, 25 minus 9 equals 16.
What is the answer to 4a minus 4 equals?
You would need to know what a is equal to in order to calculate this equation.
What is y equals five minus one fourth x?
It is a linear equation in two variables
Simplify 3 p squared minus two p minus five?
x={5/3, -1} The equation factors into: (3x-5)(x+1)
How do you find a cubic equation with integral coefficients that has the roots 2 and 4 plus i?
If it has integral coefficients and 4+i is a root then its conjugate, 4-i must also be a root. So the equation is f(x) = (x-2)*(x-4-i)*(x-4+i) where each factor is x minus a root. Then multiply these out. = (x-2)*(x2 - 8x + 17) = x3 - 2x2 - 8x2 + 16x + 17x - 34 = x3 - 10x2 + 33x - 34
What are the units of equilibrium constant Kc?
The units of equilibrium constant Kc are mol/Ln, where n is the sum of the stoichiometric coefficients of the products minus the sum of the stoichiometric coefficients of the reactants in the balanced chemical equation.
If one of the roots of the quadratic equation is 1 plus 3i what is the other root?
The answer to the question, as stated, is that the other root could be anything. However, if all the coefficients of the quadratic equation are real numbers, then the other root is 1 minus 3i.
How do you factor x cubed minus four?
There are no factors with rational coefficients.
What is 1.25 cubic feet minus 77 cubic feet?
1.25 cubic feet minus 77 cubic feet is equal to -75.75 cubic feet.
What does the area under the curve equal?
The are under the curve on the domain (a,b) is equal to the integral of the function at b minus the integral of the function at a
What is the integral of the square root of x minus 1 squared?
the integral of the square-root of (x-1)2 = x2/2 - x + C
How do you translate Quadratic equation?
Translate to what? I assume you need help interpreting it. The quadratic equation is used to solve the quadratic polynomial, ax2 + bx + c = 0, where a, b, and c can be any number. For example, if you need to solve the equation x2 = 5 + 2x, you first convert it into the standard form mentioned above: x2 - 2x - 5 = 0. Now find the coefficients, a, b, and c. In this case, a = 1, b = -2, c = -5. Finally, you replace these coefficients in the quadratic equation. The "plus-minus" sign simply means that the quadratic equation is a shortcut for two equations - one in which you add, the other in which you subtract, the terms at the top. The solutions given by the quadratic equation are values of "x" that satisfy the equation.
What is the equation for minus 7x equals 63?
The required equation is: -7x = 63
What is the answer to negative 16n minus 14n?
Look at the coefficients. -16 - 14 = -30. Therefore, -16n - 14n = -30n.
What is the answer to the math equation 2bc plus 8b minus 3c minus 12?
2bc + 8b - 3c - 12 is an expression, not an equation or inequality. It cannot, therefore have "an answer".
How do you factorise 12x squared minus 9x minus 14?
With the help of the quadratic equation formula
