In algebra, a quadratic equation define as any equation that can be rearranged in standard form ax² + bx + c as where x represents an unknown value and a, b, and c is a constant, where a ≠ 0. If a = 0, then the equation is linear, not quadratic.
The equation (x-4)² = 9 is can be solve using Extracting Square Root and Factoring, YES it can!
Extracting Square Root Method
(x-4)² = 9
√(x-4)² = √9
x-4 = ±3
Note: In every extracting square root, there are two answer, a positive and negative one.
x-4 = ±3
x-4 = 3, and x-4 = -3
x = 3+4, x = 7
x-4 = -3
x = -3+4, x = 1
Factoring Method
(x-4)² = 9
First expand the equation and transform into standard form.
Answers & Comments
Verified answer
In algebra, a quadratic equation define as any equation that can be rearranged in standard form ax² + bx + c as where x represents an unknown value and a, b, and c is a constant, where a ≠ 0. If a = 0, then the equation is linear, not quadratic.
The equation (x-4)² = 9 is can be solve using Extracting Square Root and Factoring, YES it can!
Extracting Square Root Method
(x-4)² = 9
√(x-4)² = √9
x-4 = ±3
Note: In every extracting square root, there are two answer, a positive and negative one.
x-4 = ±3
x-4 = 3, and x-4 = -3
x = 3+4, x = 7
x-4 = -3
x = -3+4, x = 1
Factoring Method
(x-4)² = 9
First expand the equation and transform into standard form.
(x-4)² = 9
x² - 8x + 16 = 9
x² - 8x + 7 = 0
(x-1)(x-7) = 0
x-1 = 0, x = 1
x-7 = 0, x = 7
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