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To rewrite the equation 8x2 − 48x = −104 with a coefficient of 1 for x2, divide the entire equation by 8, resulting in x2 − 6x = −13 This simplification yields the equation x2 −6x = −13. The coefficients and constant are clearly defined in this form
This process ensures we achieve the desired format efficiently. To rewrite the equation 8x2 − 48x = −104 with the leading coefficient of x2 equal to 1, divide the entire equation by 8 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
This gives the equation x2 − 6x = −13
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.
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