Question

Pythagoras Theorem and Quadratic Equations Solve for x: a= (x-2) b= 9 c= (x+1)

Answer 1

Answer:

x = -13

Step-by-step explanation:

using Pythagoras theorem which says that the square of the hyponeneus side of a right angled triangle is equal to the sum of square of the two opposite sides.

mathematically,

|H|² = |OPP|² + |ADJ|²

H= (x-2) , opp= 9 adj=(x+1)

(x-2)² = (9)² + (x+1)²

x² -4x + 4 = 81 + x²+2x+1

collecting the like terms

x²- x² - 4x-2x = 81 +1 - 4

- 6x = 89 -4

-6x = 78

divide both sides by the coefficient of x which is -6

-6x/-6 = 78/-6

x = -13

Answer 2

Answer:

Step-by-step explanation:

Pythagoras theorem

a^2=b^2+c^2

(x-2)^2=9^2+(x+1)^2

x^2-4x+4=81+x^2+2x+1

Collect like terms

-4x-2x=82-4

-6x=78

x=-13