Question

Solve the equation.

9( x− 2)²-4=14

Answer 1

Your answer would be x = 2 ± √2

Step-By-Step Solution:

Step one:

9x² - 36x + 32 = 14

Step two:

9x² - 36x + 32 - 14 = 14 - 14

9x² - 36x + 18 = 0

Now we use the quadratic formula.

Step three:

Plug the numbers into the quadratic formula.

x =
`\frac{-b±\sqrt{b^(2) - 4ac } }{2a}`

x =
`\frac{-(-36 ± \sqrt{(-36^(2))-4(9)(18 } )}{2(9)}`

x =
`(36 ± √(648) )/(18)`

x = 2 + √2 or x = 2 - √2

Answer 2

• (2 + √2; 2 - √2)

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Given equation:

• 9(x - 2)² - 4 = 14

Solve it in below steps:

• 9(x - 2)² - 4 = 14 Add 4 to both sides
• 9(x - 2)² = 18 Divide both sides by 9
• (x - 2)² = 2 Square root both sides
• x - 2 = ± √2 Add 2 to both sides
• x = 2 ± √2 Answer