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mel-nik [20]
3 years ago
11

How do i solve x squared = 4x -5

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0

Answer:

x = 2 ±i

Step-by-step explanation:

x^2 = 4x-5

Subtract 4x from each side

x^2 - 4x = 4x-5 -4x

x^2 - 4x= -5

Complete the square

Take the coefficient of the x term, divide by 2 and square it

-4/2 =2   2^2 =4

Add 4 to each side

x^2 -4x+4 = -5 +4

The left side is (x-coefficient of the x term/2)^2

(x-2)^2 = -1

Take the square root of each side

sqrt((x-2)^2) = sqrt(-1)

x-2 = ±i

Add 2 to each side

x-2+2 = 2 ±i

x = 2 ±i

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Ruchi travelled 149 cm 415 in a week How much distance did she travel in a day​
tankabanditka [31]

Answer:

171.85 cm

Step-by-step explanation:

Given data

We are given that the distance = 149 cm 415in

Let us mark the units uniform by converting inches to cm

1 inches = 2.54cm

415 inches= x cm

cross multiply

x= 415*2.54

x= 1054.1 cm

Hence the total distance in cm is 1054.1+149= 1203cm

If in 7 days he travels 1203cm

in 1 day he will travel x cm

cross multiply

7x= 1203

divide both sides by 7

x= 1203/7

x= 171.85 cm

7 0
3 years ago
What is the simplest radical of 146?
Eva8 [605]
Your answer would be 1X<span>√146.
GOOD LUCK!(;
</span>
4 0
4 years ago
Carlos uses a 3-D printer that melts plastic to produce custom action figures. The growth shows the amount of plastic it melts O
IceJOKER [234]

Answer and Step-by-step explanation:

It be more than 2 ounces and less than 1.5 ounces

The amount of plastic that is melted in 5.7 minutes is 1.71

To find this, you would use the point on the graph. Divide both of those numbers by 4.

(4, 1.2)

4/4 = 1.

1.2/4 = 0.3.

So, for every minute, 0.3 of an ounce of plastic is melted.

We then multiply 0.3 by 5.7 to get 1.71.

#teamtrees #PAW (Plant And Water)

8 0
3 years ago
A tank that is 40% full contains 648 gallons of water. Use a double number line to find the maximum capacity of the water tank.
natali 33 [55]
We know that
Double number lines<span> are best used to visualize equivalent ratios and describe a ratio relationship between two quantities.
</span>
<span>start with the par 40% - 648 gal and let's calculate the other missing data
to find 10%-------> multiply 648 gal by (1/4)
</span>to find 20%-------> multiply 648 gal by (1/2)
to find 30%-------> multiply 648 gal by (3/4)
to find 50%-------> multiply 648 gal by (5/4)
to find 60%-------> multiply 648 gal by (6/4)
to find 70%-------> multiply 648 gal by (7/4)
to find 80%-------> multiply 648 gal by (8/4)
to find 90%-------> multiply 648 gal by (9/4)
to find 100%-------> multiply 648 gal by (10/4)<span>

</span>Here is what the numbers would look like on a number line.  They are lined up.
10%  20%  30%  40%  50%  60%  70%  80%  90%  100%
162   324   486   648   810   972   1134  1296  1458  1620

the answer is
the maximum capacity is 1620 gallons of water.
4 0
3 years ago
11+8×{45+4×[3+8×(12×13-8×14)-37]}+1234=
sergey [27]
   
11 + 8 × {45 + 4 × [3 + 8 × (12 × 13 - 8 × 14) - 37]} + 1234 =

= <span>11 + 8 × {45 + 4 × [3 + 8 × (156 - 112) - 37]} + 1234 =

</span>= <span>11 + 8 × {45 + 4 × [3 + 8 × 44 - 37]} + 1234 =
</span>
= <span>11 + 8 × {45 + 4 × [3 + 352 - 37]} + 1234 =
</span>
= <span>11 + 8 × {45 + 4 × [355 - 37]} + 1234 =
</span>
= <span>11 + 8 × {45 + 4 × 318} + 1234 =
</span>
= <span>11 + 8 × {45 + 1272} + 1234 =
</span>
= <span>11 + 8 × 1317 + 1234 =

</span>= <span>11 + 10536 + 1234 = 10547 + 1234 = 11781
</span>


7 0
3 years ago
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