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28 April, 05:19

Solve each equation using the quadratic formula. Find the solutions.

x^2 - 6x + 7 = 0

+4
Answers (2)
  1. 28 April, 05:20
    0
    X^2-6x+7=0

    -b + / - sqrt b^2-4ac all over 2a

    a=1 b = - 6 and c=7

    6+ / - sqrt 36-4*1*7 all over 2*1

    6+ / - sqrt 8 all over 2

    6+ / - 2sqrt2 all over 2

    reduce

    3+ / - sqrrt2
  2. 28 April, 05:36
    0
    3±√2

    Step-by-step explanation:

    Given quadratic equation is:

    x²-6x+7=0

    Quadratic formula is:

    x = (-b±√b²-4ac) / 2a

    ax²+bx+c=0 is standard quadratic equation.

    Comparing given equation with standard equation, we get

    a=1, b=-6 and c=7

    Putting above values in quadratic formula, we get

    x = ( - (-6) ±√ (-6) ²-4 (1) (7)) / 2 (1)

    x = (6±√36-28) / 2

    x = (6±√8) / 2

    x = (6±2√2) / 2

    x=2 (3±√2) / 2

    x=3±√2 is the solution of given quadratic equation.
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