Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Add 20 to a number, square the sum and add the square of the number. The result is 848. The number is?
-with solutions if possible-
GIVING 20PTS WITH SOLUTION. PLEASE HELP ME OUT


Sagot :

That a bit tricky question :-

so let's do the question in small steps :)

Let a number be x.

Part 1 :-

Add 20 to a number

here we have to take the sum of 20 and x so equation formed :-

20 + x

Part 2 :-

square the sum

So in this we have to square 20+x , so equation formed.

(20 + x)²

Part 3 :-

add the square of the number

So in this part we have to add (20 + x)² and x's square i.e x² , so equation formed :-

(20 + x)² + x²

Part 4 :-

The result is 848

So in this we the expression which came in previous part is equal to 848, so equation formed:-

(20 + x)² + x² = 848

Part 5:-

To find value of x

So simplify the whole equation and we will get x.

➻ (20 + x)² + x² = 848

➻(20² + x² + 2 × x × 20) + x² = 848

➻(400 + x² + 2 × x × 20) + x² = 848

➻(400 + x² + 40 × x ) + x² = 848

➻(400 + x² + 40x ) + x² = 848

➻400 + x² + 40x + x² = 848

➻400 + 40x + 2x² = 848

➻2(200 + 20x + x²) = 848

➻200 + 20x + x² = 848/2

➻200 + 20x + x² = 424

➻20x + x² = 424 - 200

➻20x + x² = 224

➻x² + 20x - 224 = 0

➻x² +28x - 8x - 224 = 0

➻x( x + 28) - 8 (x + 28)

➻(x - 8)(x + 28)

Two solutions:-

x = 8

x = -28

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.