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3 years ago

Complete the square for 2x^2-4x=14

Mathematics

2 answers:

Charra [1.4K]3 years ago

5 0

2x² - 4x = 14

Divide by 2 through:

x² - 2x = 7

Add in the term (b/2)² :

x² - 2x + (2/2)² = 7 + (2/2)²

Complete the square:

(x - 1)² = 7 + 1

Combine like terms:

(x - 1)² = 8

Answer: (x - 1)² = 8

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The question did not ask to solve x. But here is the solution if needed to solve x:

(x - 1)² = 8

x - 1 = ±√8

x = 1 ±√+8

x =1 + 2√2 or x = 1 - 2√2

Answer: x =1 + 2√2 or x = 1 - 2√2

galina1969 [7]3 years ago

5 0

Answer:

Step-by-step explanation:

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(−m 2 +6)+(−4m 2 +7m+2)

dmitriy555 [2]

Following are calculation to the given eqution:

Given:

$\bold{(-m^2+6)+(-4m^2+7m+2)}$

To find:

Solve the equation.

Solution:

$\to \bold{(-m^2+6)+(-4m^2+7m+2)}\\\\\to \bold{-m^2+6-4m^2+7m+2}\\\\\to \bold{-5m^2+7m+8}\\\\\to \bold{-1(5m^2-7m-8)}\\\\$

Therefore, the final solution is " $-1(5 m^2-7m-8)$ ".

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brainly.com/question/12685776

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