solve the following quadratic equation x^2-7x+3=0
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This equation has no real roots.
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Answer:
x = 6.54 or x = 0.46.
Step-by-step explanation:
We have :
x² - 7x + 3 = 0
Comparing to standard quadratic equation :
ax² + bx + c = 0
We get :
a = 1
b = -7
c = 3
Using sridharacharya formula :
x = -b ± √b² - 4ac/(2a)
We get :
x = 7 ± √(-7)² - 4 × 3 × 1/(2 × 1)
x = 7 ± √49 - 12/(2)
x = 7 ± √37/(2)
x = 7 ± 6.08/(2)
x = 7 + 6.08/2 or x = 7 - 6.08/2
x = 6.54 or x = 0.46.
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