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vampirchik [111]
3 years ago
6

Solve the following quadratic equation 3x²-8x+5=0​

Mathematics
1 answer:
nekit [7.7K]3 years ago
8 0

To solve this equation, let's factor the left side.

Although you can factor it in different ways, I will show you a trick.

First, forget about the 3 and we have x² - 8x + 5.

Now, multiply the 3 by the constant to get 15.

So we have x² - 8x + 15.

Now factor to get (x - 5)(x - 3).

Now divide each of the constants in the

binomials by the leading coefficient, 3.

So we have (x - 5/3)(x - 3/3).

Simplify to get (x - 5/3)(x - 1).

Now move any denominators in front of the x in the binomial.

Moving the 3 in front of the x, we have 3x.

So our answer is (3x - 5)(x - 1) = 0.

So either 3x - 5 = 0 or x - 1 = 0.

Solving from here, we get x = 5/3 or x = 1.

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3 years ago
Find the coordinates of the vertices of the triangle if it’s rotated 270° counterclockwise.
Scilla [17]

If these coordinates are rotated 270° counterclockwise, the resulting coordinates will be;

<em>X' = (3, -1)</em>

<em>Y' = (2, -2)</em>

<em>Z' = (-1, -3)</em>

<h3>Rotation of coordinates</h3>

If the coordinates (x, y) is rotated 270° counterclockwise, the resulting coordinate point will be;

(x, y) - > (y, -x)

From the given triangles, the coordinate points are expressed as

<em>X = (1, 3)</em>

<em>Y = (2, 2)</em>

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If these coordinates are rotated 270° counterclockwise, the resulting coordinates will be;

<em>X' = (3, -1)</em>

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4 0
2 years ago
What is the value of x?
Phantasy [73]

Answer:

value of x = 5.8 mm

Step-by-step explanation:

We have given,

Two right triangles EDH and EDG.

In right triangle EDH, EH = 56mm , DH = 35 mm

Using Pythagoras theorem we can find ED.

i.e EH² = ED²+DH²

56²=ED²+35²

ED²=56²-35²

ED = √(56²-35²) = 7√39 = 43.71 mm

Now, Consider right triangle EDG

Here, EG=44.8mm , GD = x+4  and ED = 7√39

Again using Pythagoras theorem,

EG² = ED² + DG²

44.8²= (7√39)²+ (x+4)²

(x+4)² = 44.8² - (7√39)²

x+4 = √(44.8² - (7√39)²)

x+4 = 9.8

or x = 9.8 - 4 = 5.8 mm

Hence we got the value of x = 5.8 mm

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3 years ago
Jamal is x years old. His mother is 28 years older than Jamal. Jamal's uncle is two times older than Jamal's mother. Write and s
eimsori [14]

Answer:

28x^2= y

x = jamal age

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Step-by-step explanation:

5 0
2 years ago
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62 strings of orange lights and 22 strings of yellow lights were used in the house each string of lights has 36 bulbs how many b
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62 + 22 = 84 total light strings.

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