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11 August, 23:10

5. Solve the quadratic equation.

x

2

-

10

x

+

25

=

0

x2-10x+25=0

A.

x = 5 or

-

5

-5

B.

x = 5

C.

x =

-

5

-5

D.

no real solution

+1
Answers (1)
  1. 11 August, 23:32
    0
    x=5 twice

    Step-by-step explanation:

    x^2-10x+25=0

    multiply the coefficient of x^2 and the last term

    1X25=25

    find two numbers you can multiply to get 25 and add to get - 10

    -5 + (-5) = -10 the middle term

    replace - 10x with - 5x - 5x and solve the equation

    x^2-5x-5x+25=0

    factorise by grouping

    x (x-5) - 5 (x-5) = 0

    (x-5) (x-5) = 0

    Either x-5=0, x=5 or x-5=0, x=5

    Therefore x=5 twice.
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