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3 years ago

The formula below represents the standard form of a quadratic equation,

Mathematics

1 answer:

harina [27]3 years ago

4 0

Answer:

$b=-a^2-c$

Step-by-step explanation:

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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

Write each power as a product of the same factor then find the value of 10 power 6

swat32

Answer:

1,000,000

Step-by-step explanation: I just know

7 0

3 years ago

How do i graph this NEED ASAP

mr_godi [17]

this is the step I hope my answer help you .

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4 years ago

I will mark brainliest please help me on this question!

Alex

B. The data set is skewed to the left.

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3 years ago

35. Sam can join a gym for $25.00 per month or

Natali [406]

Answer:

21 months

Step-by-step explanation:

1 month: $25.00 2 month: $50.00 3 month: $75.00 4 month: $100.00 5 month: $125.00 6 month: $150.00 7 month: $175.00 8 month: $200.00 9 month: $225.00 10 month: $250.00 11 month: $275.00 12 month: $300.00 13 month: $325.00 14 month: $350.00 15 month: $375.00 16 month: $400.00 17 month: $425.00 18 month: $450.00 19 month: $475.00 20 month: $500.00 21 month: $525.00

By the 21st month, Sam would have paid $525 making the flat fee a better choice.

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3 years ago