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kira3039
24.12.2020 •
Mathematics
Given the quadratic equation ax2 + 10x + 2 = 0, determine all values of a that will result in this equation having non-real solutions. Show all work that leads to your answer.
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Ответ:
a>12.5.
Step-by-step explanation:
you need to look at the discriminant in the quadratic formula:
coming from the quadratic polynomial
In our case, b=10 and c=2, hence, the discriminant is
We will obtain non-real values if the discriminant is less than zero.
Therefore, this condition is written as
and we must solve for a. It yields
Hence, the answer is a>12.5.
Ответ:
explanation: because you are altering the sizing of the image, it is no longer congruent to the pre-image. rotations, translations, and reflections all preserve size, but dilations do not.