depressedmidschooler depressedmidschooler
  • 01-06-2020
  • Mathematics
contestada

The sum of the squares of two consecutive positive odd integers is 202. Find the numbers. Let statement and algebraic solution please. Thanks!

Respuesta :

xplicifire
xplicifire xplicifire
  • 01-06-2020

Answer:

Step-by-step explanation:

the integers are x and x+2

x^2 + x^2 + 4x + 4 = 202

2x^2 + 4x -198 = 0

x^2 + 2x -99 = 0

x^2 + 11x -9x -99 = 0

x(x + 11) -9(x + 11) = 0

(x-9)(x+11) = 0

x = 9 or -11

x+ 2 = 11 or -9

9 or 11

-9 or -11

Answer Link

Otras preguntas

An object is thrown horizontally off a cliff with an initial velocity of 5.0 meters per second. the object strikes the ground 3 seconds later. what is the horiz
1. Describe the term “Holocaust” 2. Describe the Hitler’s “Final Solution” 3. For what reasons did the US use to justify using the Atomic Bombs? 4. What were th
Six coins are tossed what is the probability that at least 4 of them will show heads
Which number sentence is true? A. 3(p-q) = 3(q-p) B. 3 + (p x q) = (p x q) + 3 C. (3 + p) - q = 3 + (p -q) D. 3 ÷ (p + q) = (p + q) ÷ 3
Laura wants to know the volume of her gold ring in cubic centimeters. She gets a rectangular glass with a base 7cm,  by 4.5cm,  and fills the glass 8.8cm  high
Find the measure of the first positive coterminal angel to theta =7 pi /2 radians
What reason did the Soviet Union give for its expansion after world war two?
The process of recording a radiographic study of the blood vessels after the injection of a contrast medium is known as what
When a hydrocarbon undergoes combustion, it reacts with blank and produces blank.
What is the number of ways to arrange 8 object from a set of 12 different objects?