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2 years ago

Using the quadratic formula, what are the solutions to x2 – 3x = -2?

Mathematics

2 answers:

Kryger [21]2 years ago

6 0

Step-by-step explanation:

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Mazyrski [523]2 years ago

6 0

Answer:

$x=1,\: x=2$

Step-by-step explanation:

To be honest, you don't need the quadratic formula as you can just factor the polynomial after setting it equal to 0:

$x^2-3x=-2\\\\x^2-3x+2=0\\\\(x-1)(x-2)=0\\\\x=1,\: x=2$

If you really need to use the quadratic formula, here's the process:

$ax^2+bx+c=0\\\\x^2-3x+2=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-3)\pm\sqrt{(-3)^2-4(1)(2)}}{2(1)}\\\\x=\frac{3\pm\sqrt{9-8}}{2}\\\\x=\frac{3\pm\sqrt{1}}{2}\\\\x=\frac{3\pm1}{2}\\x_1=\frac{3-1}{2}\\ \\x_1=\frac{2}{2}\\\\x_1=1\\\\x_2=\frac{3+1}{2}\\\\x_2=\frac{4}{2}\\ \\x_2=2$

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What is the equation of the line that is parallel to the line 2x − y = 3 and passes through the point (2, −1)?

Ivanshal [37]

Answer:

C. y = 2x − 5

Step-by-step explanation:

Given equation of line

2x − y = 3

rewriting the equation in slope intercept form as answer are given slope intercept form

y = 2x - 3

slope intercept form of equation is

y = mx + c

where m is the slope

c is y intercept

thus

slope for y = 2x - 3 when comparing with y = mx + c is 2

now we know slope of two parallel line is same

thus,

the slope of line that is parallel to the line 2x − y = 3

is 2

Let the equation of required line be y = mx + c

where m = 2

thus

y = 2x + c is the new required equation

it passes through the point (2, −1)

using y = -1 and x = 2 in y = 2x + c

-1 = 2*2 + c

c = -1 - 4

c = -5

thus,

equation of required line is option c

y = 2x - 5 ----answer

7 0

3 years ago

I really need help with this equation as soon as possible :D

viktelen [127]

The subtraction sign in front of the second set of parenthesis changes the signs on the terms inside those parenthesis. So this could be rewritten as $x-3x^4+2x^2+x^3-4x^6$ . None of the exponents on the x are the same, so we will just express it in terms of descending powers of x. $-4x^6-3x^4+x^3+2x^2+x$ . This is also the same as $4x^6+3x^4-x^3-2x^2-x$ if you don't like to start with a negative. Either one is correct.

7 0

3 years ago

Dr. Green finds a note from another scientist. It says how many boxes of bug nets they should bring, but there is a smudge over

Marizza181 [45]

Answer:

The correct answer is the number in the note is 80 and the first digit is 8.

Step-by-step explanation:

Dr. Green finds a note from another scientist. It says how many boxes of bug nets they should bring, but there is a smudge over the first digit of the number.

Number of nets that they must bring is 320.

Each box contains 4 nets.

There number of boxes necessary to be brought is given by $\frac{320}{4}$ = 80.