Consider this quadratic expression. x² – 10x + c + 11 – c What value of c is needed to complete the square for this

Question

Consider this quadratic expression.

x² – 10x + c + 11 – c

What value of c is needed to complete the square for this expression?
A. 10
B. 20
C. 25
D. 100

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Ngọc Diệp 5 years 2021-08-18T04:17:41+00:00 1 Answers 22 views 0

Answers ( )

  1. vankhanh
    0
    2021-08-18T04:19:20+00:00
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    Answer:

    c = 25

    Step-by-step explanation:

    Given this quadratic expression.

    x² – 10x + c = 0

    We are to find the value c that will make the expression a perfect square’

    Using the completing the square method

    Add the square of the half of coefficient of x

    Coefficient of x = -10

    Half of -10 = 1/2(-10) = -5

    Square of -5 = (-5)^2 = 25

    Hence the value of c to complete the expression is 25

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )