quadratic equations - math

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Use any method to solve the following equations, giving your answers to 2 decimal places where necessary. If an equation has no real roots, state this is so.

1. x2-5x+7=0

2. (3x-4)=(4x-3)2

  • quadratic equations - math -

    1. This is already in standard form. You should be able solve that equation from what you've learned.

    2. Here it is convenient to substitute.

    y = 4x-3

    Then

    x = 1/4(y+3) -------->

    3x - 4 = 3/4 (y+3) -4 =

    3/4 y - 7/4

    So, the equation is:

    3/4 y - 7/4 = y^2 -------->

    4 y^2 - 3 y + 7= 0

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