Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
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
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.