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vitfil [10]
2 years ago
7

Solve the equation for all real solutions in simplest form. 3x2 - 12x + 11 = x

Mathematics
1 answer:
Ivanshal [37]2 years ago
5 0

Answer:

(13 + or - (sign) square root(37)) / 6

Step-by-step explanation:

First search up the quadratic formula which is

x = (- b + or - square root(b^2 - 4ac)) / 2a

and to find a, b, and c you need this formula

ax^2 + bx + c = 0 (btw this is the safest solution to finding your answer with a number in-front of a quadratic equation.)

Math:

a = 3, b = -13, c = 11

b = -13, because of the x on the other end of the equation as the equation above "ax^2 + bx + c = 0" you need the zero to proceed to this next step.

Side Note: You only take the number and not the variable, variables are x, y, w, z, or etc.

(- (- 13) + or - square root((-13)^2 - 4(3)(11) ) ) / 2 * 3

13 + or - square root(37) / 6

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Answer:

y = 2x(x - 21)

Step-by-step explanation:

The given quadratic function y = -40x + 2x^2 - 2x

This can be rearranged as

y = 2x^2 - 2x - 40x

Here the Greatest Common Factor is 2x, we can take it out and write the remaining term in parenthesis.

y = 2x(x - 1 -20)

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That's the answer.

Hope this will helpful.

Thank you.

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2 years ago
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x^2 +3x

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olchik [2.2K]

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