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4x^2-56x=0 solve for x

User Dmn
by
5.6k points

2 Answers

2 votes

Answer: x = 14, or 0

Explanation:Using the method of completing the square, this expression of 4x² - 56x = 0 , first, we divide the expression by 4 to make us fulfill the laws.

4x²/4 - 56x/4 =0/4

x² - 14x = 0

Step 2; add to both sides of the equation, the square of half of the coefficient of x which is 14

x² - 14x + 7² = 0 + 7²

x² - 7² = 49

(x - 7 )² = 49

Now, to find x, we take the square roots of both sides

√(x - 7 )² = ±√49

x - 7 = ± 7

Therefore,

x = 7 ± 7

x = 7 + 7 or 7 - 7

x = 14 or 0

User Martin Mandl
by
5.0k points
3 votes

Answer:

the value of x is 14

Explanation:

4x^2-56x=0

4x^2 = 56x

divide through by 4x

x = 56x/4x

x = 14

User KJA
by
5.5k points