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marin [14]
3 years ago
8

One half X +13 equals nine

Mathematics
2 answers:
NeTakaya3 years ago
5 0
\frac{1}{2}x+13=9
\frac{1}{2}x=9-13
\frac{1}{2}x=-4
x=-4*2
x=-8
Answer: x=-8
Mariulka [41]3 years ago
5 0
1/2 x + 13= 9
multiply by 2 to eliminate the fraction
x+ 26= 18
subtract 26 from both sides
  x=  -8

Hope this helps
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\boxed{\textsf{ The factorised form is \textbf{(4x+1)(3x+1)}.}}

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A quadratic polynomial is given to us and we need to find its factorised form . The given quadratic polynomial is ,

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And this equation is similar to the equation in ax² + bx + c form . So in order to factorise it .

Step 1: <u>Multiply </u><u>the </u><u>coefficient </u><u>of </u><u>x²</u><u> </u><u>with </u><u>the </u><u>constant</u><u> </u><u>term </u><u>.</u>

Here the coefficient of x² is 12 and the constant term is 1 . So on multiplying them we get 12*1= 12 .

Step 2: <u>Look </u><u>out</u><u> </u><u>for </u><u>the </u><u>possible</u><u> </u><u>factors </u><u>of </u><u>the </u><u>number</u><u> </u><u>.</u>

Here the obtained number is 12 . So the possible factors of 12 is

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After suitable rearrangment we get ,

\sf\implies p(x)= 12x^2+4x+3x+1 \\\\\sf\implies p(x)= 4x(3x+1)+1(3x+1) \\\\\implies\boxed{\red{\sf p(x)= (4x+1)(3x+1)}}

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