Write the equation x(x - 5) + 4 = 0 in quadratic form and then solve it by factoring. ?

Question

Write the equation x(x - 5) + 4 = 0 in quadratic form and then solve it by factoring. ?

Answer 1

x(x - 5) + 4 = 0

x² - 5x + 4 = 0

(x - 1)(x - 4) = 0

x = 1, 4

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Answer 2

x(x - 5) + 4 = 0

x^2 - 5x + 4 = 0

(x - 1) (x - 4) = 0

x = 1, 4

Answer 3

x (x - 5) + 4 = 0

x^2 - 5x + 4 = 0 (expand)

(x - 1)(x - 4) = 0  (see note below)

x = 1, x = 4

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Find 2 numbers (m and n) such that:

m times n = + 4

m + n = - 5

==> m must be -4 and n must be -1

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I hope that helps.

Answer 4

Distribute the x to the parentheses.

x^2-5x+4=0

Factor.

(x-4)(x-1)=0

Set each term to zero.

x-4=0

x-1=0

Solve. x=4

x=1

Check.

4(-1)=4=-4+4=0

1(-4)+4=-4+4=0