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3 years ago

Can someone help me with this ASAP please I’m being timed !

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

7 0

i really cant see what it says sorry

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What are the solutions of x^2-2x+5=0

sweet [91]

The solution of $x^{2}-2 x+5=0$ are 1 + 2i and 1 – 2i

Solution:

Given, equation is $x^{2}-2 x+5=0$

We have to find the roots of the given quadratic equation

Now, let us use the quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ --- (1)

Let us determine the nature of roots:

Here in $x^{2}-2 x+5=0$ a = 1 ; b = -2 ; c = 5

$b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16$

Since $b^2 - 4ac < 0$ , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

$x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}$

On solving we get,

$x=\frac{2 \pm \sqrt{4-20}}{2}$

$x=\frac{2 \pm \sqrt{-16}}{2}$

$x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}$

we know that square root of -1 is "i" which is a complex number

$\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}$

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

6 0

3 years ago

6. Holly's recipe for birdseed is 80% sunflower chips. Her recipe creates 25 ounces of bird

Ulleksa [173]

Answer: my but

Step-by-step explanation:

1+1

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2 years ago

How do you simplify 4³

Fantom [35]

Answer:

Your answer is 64

Step-by-step explanation:

search in google 4 to the 3rd power

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3 years ago

Solve for the compound inequality 6b < 42 or 4b + 12 > 8.

Anuta_ua [19.1K]

Answer:

-1<b<7, or i suppose b.

Step-by-step explanation:

6b<42

b<7

4b+12>8

4b>-4

b>-1

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3 years ago

I USE 30 minutes to run 3 kilometers what is my avarge speed

kati45 [8]

Answer:

1 kilometer for every 10 minutes.

Step-by-step explanation:

Divide 30/3 to get your ratio

8 0

3 years ago

Read 2 more answers