Math, asked by amitrasudanbanerjee, 4 months ago

5x²-3x=45 then find x

Answers

Answered by anindyaadhikari13
2

Required Answer:-

Given:

  • 5x² - 3x = 45

To find:

  • The roots of the given equation.

Solution:

We have,

➡ 5x² - 3x = 45

➡ 5x² - 3x - 45 = 0

Now, its in the standard form.

Here,

  • a = 5
  • b = -3
  • c = -45

So,

x = (-b ± √(b² - 4ac))/2a

= (3 ± √(9 - 4 × 5 × (-45)))/10

= (3 ± √(9 + 900))/10

= (3 ±√{9(1 + 100)})/10

= (3 ±3√101)/10

Hence, the roots of the given Quadratic Equation are (3 + 3√101)/10 and (3 - 3√101)/10

Answer:

  • The roots of the given Quadratic Equation are (3 + 3√101)/10 and (3 - 3√101)/10
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