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Sergeu [11.5K]
3 years ago
12

What does x equal in 150 = -6(x)^2 + 100x -180

Mathematics
2 answers:
dedylja [7]3 years ago
7 0

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Exact Form:

x

=

25

+

√

130

3

,

25

−

√

130

3

Decimal Form:

x

=

12.13391808

…

,

4.53274858

…

Step-by-step explanation:

Anettt [7]3 years ago
6 0

Answer:

x=\frac{25-\sqrt{130}}{3}

Step-by-step explanation:

x_{1,\:2}=\frac{-100\pm \sqrt{100^2-4\left(-6\right)\left(-330\right)}}{2\left(-6\right)}

x_{1,\:2}=\frac{-100\pm \:4\sqrt{130}}{2\left(-6\right)}

x_1=\frac{-100+4\sqrt{130}}{2\left(-6\right)},\:x_2=\frac{-100-4\sqrt{130}}{2\left(-6\right)}

x=\frac{25-\sqrt{130}}{3},\:x=\frac{25+\sqrt{130}}{3}

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For this case we have the following equation:
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 Rewriting we have:
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 Rewriting we have:
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The solution is:
 
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lord [1]

A could be 2 while B could be 3, so -2a+3b turns into -4+9, which equals 5.

From what I know you can't really solve a a single equation with two-variables so it's just a matter of trial and error.

Just try plugging in a small number like 2 for a just to try it and you get 8b^2=72.

Divide everything by 8 to isolate b and you get that b^2=9.

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Now that we know that a=2 and b=3 just plug them into the equation.

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5

Sorry about having to use this ^ symbol, the equation maker is not working.

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