Pythagorean Quadratic Week 5 Assignment
Week Five Assignment-Pythagorean Quadratic
MATT 221-Intro to Algebra
Instructor Sharon Giles
Saturday, March 15, 2014
This fifth and final week deals with the Pythagorean Quadratic. It comes from page 371 of the text as a matter of fact. It is number 98. The name of this particular problem is Buried treasure. The two key figures of the problem are Ahmed and Vanessa. The backdrop of this story is that they are searching for buried treasure and they each have half 0f he treasure map.
Ahmed’s half of the map states that the treasure is buried in the desert 2x+6 paces from Castle Rock. Vanessa’s half of the map states that in order to fined the treasure, one must first get to Castle Rock, then walk x paces to the north, then walk 2x+4 paces to the east. If Ahmed and Vanessa share their information, then they can find x and save a lot of digging. I will now find x. …show more content…
a2+b2=c2 is the formula for the Pythagorean Theorem. Let a=x, b=2x+4, c=2x+6 x2+ (2x+4)2=(2x+6)2 The binomials are plugged into the Pythagorean Theorem. The binomials are squared.
x2+4x2+8x+16=4x2+12x+36 Notice the 4x2on both sides of the equation, I will subtract this from both
MATT 221-Intro to Algebra
Instructor Sharon Giles
Saturday, March 15, 2014
This fifth and final week deals with the Pythagorean Quadratic. It comes from page 371 of the text as a matter of fact. It is number 98. The name of this particular problem is Buried treasure. The two key figures of the problem are Ahmed and Vanessa. The backdrop of this story is that they are searching for buried treasure and they each have half 0f he treasure map.
Ahmed’s half of the map states that the treasure is buried in the desert 2x+6 paces from Castle Rock. Vanessa’s half of the map states that in order to fined the treasure, one must first get to Castle Rock, then walk x paces to the north, then walk 2x+4 paces to the east. If Ahmed and Vanessa share their information, then they can find x and save a lot of digging. I will now find x. …show more content…
a2+b2=c2 is the formula for the Pythagorean Theorem. Let a=x, b=2x+4, c=2x+6 x2+ (2x+4)2=(2x+6)2 The binomials are plugged into the Pythagorean Theorem. The binomials are squared.
x2+4x2+8x+16=4x2+12x+36 Notice the 4x2on both sides of the equation, I will subtract this from both