Algebra, URGENT!!!

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1) The first leg of a right triangle is 6 cm longer than its second leg. If the hypotenuse has a length of 8 cm, find the exact lengths of the two legs.

First Leg:

Second Leg:

2) The length of a rectangle is 10 m longer than its width and the area of the rectangle is 480 m2. Find the exact dimensions of the rectangle.

W =

L =

  • Algebra, URGENT!!! -

    1. 8^2 x^2(x+6)^2
    =

    2. 480 = (w+10)w

  • Algebra, URGENT!!! -

    1. x^2 + (x+6)^2 = 8^2
    x^2 + x^2 + 12x + 36 - 64 = 0
    2x^2 + 12x - 28=0
    x^2 + 6x - 14 = 0
    x^2 + 6x = 14 , completing the square ....
    x^2 + 6x + 9 = 14+9
    (x+3)^2 = 23
    x+3 = ± √23
    x = -3 ± √23
    but x has to be positive
    so x = √23 - 3

    so one leg is √23 - 3 , the other is √23 + 3

    #2. solve the equation that kuai gave you

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