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Blizzard [7]
3 years ago
11

What is (4x+3)(x-7)=90

Mathematics
2 answers:
gregori [183]3 years ago
8 0
(4x+3)(x-7)=90\\
Distribute\\
4x^{2}-28x+3x-21=90\\
4x^{2}-25x-21=90\\
4x^{2}-25x-101=0\\
\\
101\ is\ a\ prime\ number,\ so\ use\ the\ quadratic\ equation.\\
x= \frac{-b+-\sqrt{b^{2}-4ac}}{2a} \\
 \frac{-(-25)+-\sqrt{(-25)^{2}-4*4*(-101)}}{2*4} \\
 \frac{25+-\sqrt{625+1616}}{8} \\
x= \frac{25+-\sqrt{2241}}{8} \\
So\ x= \frac{25+\sqrt{2241}}{8}\ and x= \frac{25-\sqrt{2241}}{8} \\
These\ come\ out\ to\ be\ x=9.0424... \ and\ x=-2.7924...
Ivan3 years ago
6 0
It would be 16 i say
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Step-by-step explanation:

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Math question need help with substation please?
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<em>2 solutions</em>

<em>X= 16</em>

<em>X=49</em>

Step-by-step explanation:

<em>original equation</em>

<em>x-11√x+28 = 0</em>

<em>   Isolate</em>

<em>     -11√x = -x-28+0</em>

<em>  Tidy up</em>

<em>     11√x = x+28</em>

<em>  Raise both sides to the second power</em>

<em>     (11√x)2 = (x+28)2</em>

<em>After squaring</em>

<em>     121x = x2+56x+784</em>

<em> Plug in 49 for  x </em>

<em>      11√(49) = (49)+28</em>

<em>Simplify</em>

<em>      11√49 = 77</em>

<em>      Solution checks !!</em>

<em>     Solution is:</em>

     x = 49

<em>Plug in 16 for  x </em>

<em>      11√(16) = (16)+28</em>

<em>Simplify</em>

<em>      11√16 = 44</em>

<em>      Solution checks !!</em>

<em>     Solution is:</em>

     x = 16

3 0
3 years ago
Sarah,Leah,Haley and Kim bought 5 bottles of water to share among themselves. They divided each bottle of water into 4 equal por
Irina18 [472]

Answer:

Sarah have \frac{5}{4} bottle of water.

Step-by-step explanation:

We are given that,

Total number of bottles = 5

As, each bottle is divided into 4 portions.

The amount of water per person = \frac{1}{4}

Further, Sarah took 1 portion from each bottle and there are 5 bottles.

So, the amount of water Sarah have = \frac{1}{4}\times 5 = \frac{5}{4}

Hence, Sarah have \frac{5}{4} bottle of water.

5 0
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