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valkas [14]
3 years ago
8

Solve this quadratic equation by completing the square. x^2 + 6x = 18

Mathematics
2 answers:
anastassius [24]3 years ago
4 0

Answer:

Step-by-step explanation:

x²+6x = 18

coefficient of the x term:  6

divide it in half:  3

square it:  3²

add 3² to both sides to complete the square and keep the equation balanced:

x²+6x+3² = 18+3²

(x+3)² = 27

x+3 = ±√27 = ±3√3

x = -3±3√3

Paladinen [302]3 years ago
4 0

Step-by-step explanation:

Use formula

(\frac{b}{2} ) {}^{2}

To add a third new term and factor to find the answer. Example

x {}^{2}  + 6x = 18

( \frac{6}{2} ) {}^{2}

Which equal 9. so our equation look like

{x}^{2}  + 6x + 9 = 18 + 9

The only number that multiply to 9 and add up to 6 is 3. So we write our equation like this.

(x + 3) {}^{2}  = 27

Take the sqr root of both sides

x + 3 =  \sqrt{27}

Subtract 3 from both sides

x =  \sqrt{27}  - 3

Since a sqr root of a number can be positive or negative, the answer is

\sqrt{27}  - 3

or

- ( \sqrt{27} ) - 3

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