5x²-3x=45 then find x
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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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