Question

which quadratic equation has roots of -1+4i and -1-4i

Answer 1

Can you please put up which equations we need to identify with?

Answer 2

one sec

Answer 3

x^2+2x+2=0
2x^2+x+17=0
x^2+2x+17=0
2x^2+x+2=0

Answer 4

ok @563blackghost

Answer 5

Plug them in quadratic formula.

\(\LARGE\bf{x=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}}\)

Remember the format of standard form is \(\large\bf{ax^{2} + bx+c}\).

So identify `a, b, and c` and plug in.

~~~~

\(\LARGE\bf{x^{2}+2x+2=0}\)

`a = 1 (due to only x)`, `b = 2` and `c = 2`. Plug.

\(\LARGE\bf{x= \frac{-2 \pm \sqrt{2^{2}-4 \times 1 \times 2}}{2(1)}}\)

Answer 6

This format applies to all equations.

Answer 7

answer?

Answer 8

You need to simplify with me. I can not give answers. It is against conduct.

The equation above simplifies to...

\(\LARGE\bf{x= \frac{-2 \pm 2i}{2}}\)

In which we divide.

\(\huge\bf{x={-1 \pm i}}\)

Answer 9

See the step by step solution given by Wolfram A;pha

Answer 10

Or that.