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3 years ago

X2 - 4x + 3 = 0 lesser x = greater x = o

Mathematics

1 answer:

Levart [38]3 years ago

7 0

Answer:

lesser x is 1

greater x is 3

Step-by-step explanation:

Here, we want to solve the equation so as to get the bigger and the lesser x values

We proceed as follows;

x^2 -4x + 3 = 0

x^2 - x-3x + 3 = 0

x(x-1) -3(x-1) = 0

(x-3)(x-1) = 0

x = 3

or x = 1

Greater x is 3

lesser x is 1

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Evaluate cos(sin^-1(4/5)

PSYCHO15rus [73]

Step-by-step explanation:

$Let \: \: \theta = \sin^{ - 1} (\frac{4}{5}) \\ \\ \therefore \: \sin\theta = \frac{4}{5} \\ \\ \because \: { \cos}^{2} \theta =1 - { \sin}^{2} \theta \\ \\ \therefore \: { \cos}^{2} \theta = 1 - (\frac{4}{5} )^{2} \\ \\ = 1 - \frac{16}{25} \\ \\ = \frac{25 - 16}{25} \\ \\ = \frac{9}{25} \\ \\ \therefore \:{ \cos}\theta = \pm \: \frac{3}{5} \\ \\ \because \: \theta \: lie \: in \: the \: first \: quadrant \\ \\ \therefore \: { \cos}\theta = \: \frac{3}{5} \\ \\ \implies \theta = { \cos}^{ -1 } \: \frac{3}{5}\\\\\implies \theta = { \cos}^{ -1 } \: \frac{3}{5}= { \sin}^{ -1 } \: \frac{4}{5} \\ \\ \therefore \: \cos( \ {sin}^{ - 1} \frac{4}{5} ) \\ \\ = \cos( \ {cos}^{ - 1} \frac{3}{5} ) \\\\ = \frac{3}{5} \\ \\ \purple{ \boxed{\therefore \: \cos( \ {sin}^{ - 1} \frac{4}{5} ) = \frac{3}{5}}}$

8 0

3 years ago

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tatiyna

Answer:

1 and 3

Step-by-step explanation:

Part a: 1 and 3

part b: x = −22

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Have a great day, be safe and healthy

Thank u

8 0

3 years ago

Read 2 more answers

Find the distance between the two points in simplest radical form. (0,−7) and (−6,1)

astra-53 [7]

Answer:

Step-by-step explanation:

d = √(x2 -x1)² + (y2 - y1)²

√(-6 - 0)² + [1 - (-7)]²

√(-6)² + (8)²

√(36) + (64)

√100

= 10

4 0

2 years ago

Which has the larger area, a square with sides that are x +1 units long or a rectangle with a length of x +2 units and a width o

swat32

Answer:

A. Square

Explanation:

The square with sides: x+1

Has an area of: (x+1)^2

The rectangle with sides: x+2 and x

Has an area of: x(x+2)

So we simplify the square: (x+1).(x+1)= x^2+2x+1

Simplifying the rectangle: x^2+2x

Therefore the square area is larger by one unit.

Hope you get it!

6 0

3 years ago

What is num 2?? I need this done by tonight!

timama [110]

Maybe absolute value

3 0

3 years ago