Write a quadratic equation having the given numbers as solutions.
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A) + 61x - 45 = 0
B) + 1220x + 45 = 0
C) + 61x + 45 = 0
D) + 45x + 1220 = 0

Question

Write a quadratic equation having the given numbers as solutions.
-
A) + 61x - 45 = 0 
B) + 1220x + 45 = 0 
C) + 61x + 45 = 0 
D) + 45x + 1220 = 0

Quizplus · Accepted Answer

The quadratic equation having the given solution of 11ebbb8f_b95c_18a0_bcf2_3d995c701414_TB8306_11 can be written as (x - 11ebbb8f_b95c_18a0_bcf2_3d995c701414_TB8306_11)(x - 11ebbb8f_b95c_18a3_bcf2_df8e2a0bdfc3_TB8306_11) = 0. After expanding, simplifying, and rearranging, we get choice C, 11ebbb8f_b95c_18a3_bcf2_df8e2a0bdfc3_TB8306_11 + 61x + 45 = 0, as the quadratic equation with the given solutions. The quadratic equation with the solutions 11ebbb8f_b95c_18a0_bcf2_3d995c701414_TB8306_11 can be written as (x - 11ebbb8f_b95c_18a0_bcf2_3d995c701414_TB8306_11)(x - 11ebbb8f_b95c_18a0_bcf2_3d995c701414_TB8306_11) = 0. Simplifying this equation gives x^2 - 2(11ebbb8f_b95c_18a0_bcf2_3d995c701414_TB8306_11) x + (11ebbb8f_b95c_18a0_bcf2_3d995c701414_TB8306_11)^2 = 0. Therefore, the best choice is C as it has the correct solutions and matches the simplified form of the equation.

Write a Quadratic Equation Having the Given Numbers as Solutions