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We need to use the quadratic formula for this.
-b±√(b2-4ac)
-----------------
2a
Let me explain some of the symbols and letters first.
±- is the plus or minus sign. You will perform both separately when we reach this step.
√-is the square root sign.
The line above 2a is the division line.
The letter a represents the quantity of x2, which is 1 in this case
The letter b represents the quantity of x, which is 5 in this case
The letter c represents the quantity of 1, which is 11 in this case
Let's plug the numbers in.
-5±√(52-4(1)(11))
-----------------
2(1)
Solve:
-5±√(52-4(1)(11))
----------------------- =
2(1)
-5±√((25)-(44))
----------------------- =
2
-5±√((25)-(44))
----------------------- =
2
-5±√(-19)
----------------------- =
2
We cannot have a square root of a negative, so this polynomial is not able to be solved if we restrict ourselves to the real numbers. However, we certainly have two complex roots.
What else can I help you with?
Which two values of x are roots of the polynomial of x2 plus 5x plus 9?
To find the roots of the polynomial (x^2 + 5x + 9), we can use the quadratic formula: (x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}). Here, (a = 1), (b = 5), and (c = 9). The discriminant (b^2 - 4ac = 5^2 - 4 \cdot 1 \cdot 9 = 25 - 36 = -11), which is negative. This means the polynomial has no real roots, but two complex roots: (x = \frac{-5 \pm i\sqrt{11}}{2}).
What type of polynomial is 7x2 - 5x plus 2?
It is a quadratic polynomial.
What is the standard form of the polynomial -5x plus 9X81?
-5x + 729
What degree is the polynomial 35-6x2 plus 7x3 plus 5x?
7X^3 Third degree polynomial.
Factor the polynomial x2 plus 5x - 24 Write each factor as a polynomial in descending order?
2x+5x-24 7x2-24
The polynomial 4x2 plus 5x plus 4 has how many roots?
None, it involves the square root of a negative number so the roots are imaginary.
Which two values of x are roots of the polynomial x2 plus 5x plus 9?
-2.5 + 1.6583123951777i-2.5 - 1.6583123951777i
Which two values of x are roots of the polynomial below x2 plus 5x plus 11?
There are none because the discriminant of the given quadratic expression is less than zero.
Which two values of x are roots of the polynomial of x2 plus 5x plus 9?
To find the roots of the polynomial (x^2 + 5x + 9), we can use the quadratic formula: (x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}). Here, (a = 1), (b = 5), and (c = 9). The discriminant (b^2 - 4ac = 5^2 - 4 \cdot 1 \cdot 9 = 25 - 36 = -11), which is negative. This means the polynomial has no real roots, but two complex roots: (x = \frac{-5 \pm i\sqrt{11}}{2}).
What type of polynomial is 7x2 - 5x plus 2?
It is a quadratic polynomial.
What is the standard form of the polynomial -5x plus 9X81?
-5x + 729
What degree is the polynomial 35-6x2 plus 7x3 plus 5x?
7X^3 Third degree polynomial.
Which two values of x are roots of the polynomial below x2 plus 5x plus 9?
x = -2.5 + 1.6583123951777ix = -2.5 - 1.6583123951777iwhere i is the square root of negative one.
Is it 2x plus 3x plus 4x plus 5x is a polynomial?
yes, and it is 14x
Factor the polynomial x2 plus 5x - 24 Write each factor as a polynomial in descending order?
2x+5x-24 7x2-24
What is the degree of 7x7 plus 10x4 plus 4x3-5x11-10x6-6x7?
To find the degree of the polynomial ( 7x^7 + 10x^4 + 4x^3 - 5x^{11} - 10x^6 - 6x^7 ), we identify the term with the highest exponent. The terms are ( 7x^7 ), ( 10x^4 ), ( 4x^3 ), ( -5x^{11} ), ( -10x^6 ), and ( -6x^7 ). The term with the highest exponent is ( -5x^{11} ), which has a degree of 11. Therefore, the degree of the polynomial is 11.
How is 15x3 plus 20x factored as a polynomial?
5x(3x+4)
