Polynomials
Solve the following in box method:
3 to the second power times 16x minus 18=-6
To solve this using the box method, we will first create a box with two rows and two columns:
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Next, we will label the top row with the terms of the polynomial:
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| 3x | -18 |
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Then, we will multiply the terms in the top row together and fill in the box:
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| 48x - 54 |
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The equation now becomes:
3x(16x) - 18 = -6
48x^2 - 54 = -6
Next, we will isolate the variable by adding 54 to both sides:
48x^2 = 48
Divide by 48 on both sides:
x^2 = 1
Finally, take the square root of both sides to solve for x:
x = ±1
Therefore, the solutions are x = 1 and x = -1.