Eleven diminished by 5 times a number is the same as 4 times the number increased by 20.

Mathematics

1 answer:

Bas_tet [7]3 years ago

5 0

$x-number\\\\
11-5x=4x+20\\\\
-5x-4x=20-11\\\\-9x=9\ \ |:(-9)\\\\
x=-1\\\\Number\ is\ -9.$

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3 years ago

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If the $x^2$ coefficient is 1, i.e. the equation is written like $x^2+bx+c=0$ , then you can say the following about the coefficients b and c:

$b$ is the opposite of the sum of the roots
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So, for example, if we want an equation whose roots are 4 and -2, we have:

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If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

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