This is a quadratic equation, i.e. an equation involving a polynomial of degree 2. To solve them, you must rearrange them first, so that all terms are on the same side, so we get

$x^2 + 11x - 4 = 0$

i.e. now we're looking for the roots of the polynomial. To find them, we can use the following formula:

$x_{1,2} = \frac{-b\pm\sqrt{b^2-4ac}}{2}$

where $x_{1,2}$ is a compact way to indicate both solutions $x_1$ and $x_2$ , while $a,b,c$ are the coefficients of the quadratic equation, i.e. we consider the polynomial $ax^2+bx+c$ .

So, in your case, we have $a=1,\ \ b=11,\ \ c=-4$

Plug those values into the formula to get

$x_{1,2} = \frac{-11\pm\sqrt{121+16}}{2} = \frac{-11\pm\sqrt{137}}{2}$

So, the two solutions are

$x_1 = \frac{-11+\sqrt{137}}{2}$

$x_2 = \frac{-11-\sqrt{137}}{2}$

3 0

3 years ago

Examine the system of equations below. Which choice will not result in an equation that would also belong to this

zaharov [31]

I would say that it is either B. Multiply the second equation by 4. Then add that result to the first equation or D. Add the two equations together

5 0

3 years ago

benny had 266 dollars to spend on 9 books. After buying them he had 14 dollars. How much did each book cost?

Anastaziya [24]

Answer:

The books cost $28 dollars each.

Step-by-step explanation:

$266 - $14 = $252

then take $252 divided by 9 = $ 28

7 0

2 years ago

Find the pattern in the Fibonacci sequence and identify the next two terms.

klasskru [66]

For the Fibonacci sequence you add the two previous numbers. You always start with 0, 1 and you add 0 and 1 which makes 1 then 1 + 1 makes two and so on. The next number in the sequence would be 34 + 55, meaning 89, and after that would be 55 + 89, or 144.

5 0

3 years ago