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2 years ago

The sum of a whole number and twice the square of the number is 10. Find the number

Mathematics

1 answer:

amid [387]2 years ago

5 0

Answer:

Hey there !

Solution:

Let the number be x

=> x + 2x² = 10

=> 2x² + x - 10 = 0

Factorising the quadratic equation we get,

=> 2x² + 5x - 4x - 10 = 0

=> x ( 2x + 5 ) -2 ( 2x + 5 ) = 0

=> ( x - 2 ) ( 2x + 5 ) = 0

=> x = 2, -5/2

Since x is a whole number, -5 / 2 wont be applicable.

Hence x = 2.

Hence the number is 2.

Hope my answer helped !

Step-by-step explanation:

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2 years ago

How do you solve -2 (x + 4) > 24 + 3x

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$-2 (x + 4) > 24 + 3x \\ -2x-8>24+3x\\ 5x$

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2 years ago

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Which number is a solution of the inequality?

padilas [110]

we know that

A number is an inequality solution if the number satisfies the inequality

Part 1) $10.6 < b$

rewrite the inequality

$b > 10.6$

The answer Part 1) is the option D $14$

Because $14$ satisfies the inequality

$14 > 10.6$ -----> is true

Part 2) $m > 7/12$

The answer Part 2) is the option A $1$

Because $1$ satisfies the inequality

$1 > 7/12$ -----> is true

Part 3) $8< x(7-x)$

we're going to verify every case

case A) For $x=2$

substitute the value of x in the inequality

$8< 2(7-2)$

$8< 10$ ------> is true

therefore

The number $2$ is a solution

case B) For $x=8$

substitute the value of x in the inequality

$8< 8(7-8)$

$8< -8$ ------> is not true

therefore

The number $8$ is not a solution

case C) For $x=-1$

substitute the value of x in the inequality

$8< -1(7-(-1))$

$8< -8$ ------> is not true

therefore

The number $-1$ is not a solution

case D) For $x=0$

substitute the value of x in the inequality

$8< 0(7-0)$

$8< 0$ ------> is not true

therefore

The number $0$ is not a solution

therefore

The answer Part 3) is the option A $2$

6 0

3 years ago

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The nba regulations require the basketball court to be 132 feet long. How many meters is length of the Court.??? Thank you!!!

Natalija [7]

Answer:

40.23 meters (rounded to 2 decimal places)

Step-by-step explanation:

We need to convert 132 feet to meters by using the conversion factor shown below:

1 feet = 0.3048 meters

Now we can setup a ratio to solve for the length of basketball court in meters (let it be x). Shown below:

$\frac{1}{0.3048}=\frac{132}{x}\\x=132*0.3048\\x=40.2336$

Thus, length of basketball court (in m) = 40.23 meters (rounded to 2 decimal places)

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3 years ago