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ludmilkaskok [199]
3 years ago
5

Solve for x. pls pls pls pls pls pls

Mathematics
1 answer:
Lynna [10]3 years ago
8 0

Answer:

smaller \: x =  \boxed  { - 5} \\ larger \: x =  \boxed 2

Step-by-step explanation:

5 {x}^{2}  + 15x - 50 = 0 \\ 5( {x}^{2}  + 3x - 10) = 0 \\ {x}^{2}  + 3x - 10 = 0  \\  {x}^{2}  + 5x - 2x - 10 = 0 \\ x(x + 5) - 2(x + 5) = 0 \\ (x + 5)(x - 2) = 0 \\ x + 5 = 0 \: or \: x - 2 = 0 \\ x =  - 5 \:or \: x = 2 \\ smaller \: x =  \boxed  { - 5} \\ larger \: x =  \boxed 2

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Step-by-step explanation:

Here FSB and ZDR are two triangles.

In which, FS = 38 unit, FB = 55 unit, ZD = 15.2 unit and ZR = x unit.

Also, \triangle FSB\sim \triangle ZDR

Thus, By the property of similarity,

\frac{FS}{ZD} = \frac{FB}{ZR}

⇒ \frac{38}{15.2} = \frac{55}{x}

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⇒ x = 22

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