The coefficients and constant are clearly defined in this form This process ensures we achieve the desired format efficiently. An example relevant here is to consider completing the square for x2 + 4x, where you would divide 4 by 2 to get 2, square it to get 4, yielding (x + 2)2 This illustrates the same process in a simpler equation. The equation 8x2 − 48x = −104 can be rewritten as x2 − 6x = −13 by dividing the entire equation by 8 This results in the coefficient of x2 being 1, where b = −6 and c = −13
Therefore, it is now in the form x2 + bx = c. To rewrite 8x − 48x −104 in the form where the coefficient of x is 1, divide every term by 8, leading to x − 6x −13 This puts the equation into the format x + bx c where b −6 and c −13. To rewrite the equation 8x − 48x = −104 with a leading coefficient of 1, divide the entire equation by 8 to get x −6x = −13 This results in the new equation where a = 1, b = −6, and the constant term is −13. To rewrite the equation 8x2 − 48x = −104 with a coefficient of x2 equal to 1, divide all terms by 8
Therefore, the rewritten equation is x2 + (−6)x = −13. To rewrite the equation 8x2 − 48x = −104 with a = 1, divide each term by 8, resulting in x2 − 6x = −13 This ensures the coefficient of x2 is 1, setting up for further analysis or solving. To rewrite the equation 8x2 − 48x = −104 so that a = 1, divide the entire equation by 8 This results in the new equation x2 −6x = −13. To rewrite the equation 8x2 − 48x = −104 so that the coefficient of x2 is 1, we will follow these steps
Normalize the coefficient of x2 to achieve a = 1, we need to divide the entire equation by 8 88x2 − 848x = 8−104 this simplifies to X2 − 6x = −13 step 2 Write the equation in the required form now, we can express the equation in the form of x2 + x. To rewrite the equation 8x2 − 48x = −104 with the leading coefficient of x2 equal to 1, divide the entire equation by 8 This simplification yields the equation x2 −6x = −13.
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