3x²+5√2x+2=0,Solve the given equation using the general formula.
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we need to apply dicriminant in thus question.
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Solution :
Given quadratic equation
3x²+5√2x+2=0
compare above equation with
ax² + bx + c = 0, we get
a = 3 , b = 5√2 , c = 2
Discreminant (D) = b² - 4ac
= (5√2)² - 4×3×2
= 50 - 24
D = 26
****************************************
We know the quadratic formula:
x = [ -b ± √D ]/(2a)
= [ -5√2 ± √26 ]/( 2 × 3 )
= [ -5√2 ± √26 ]/6
••••
Given quadratic equation
3x²+5√2x+2=0
compare above equation with
ax² + bx + c = 0, we get
a = 3 , b = 5√2 , c = 2
Discreminant (D) = b² - 4ac
= (5√2)² - 4×3×2
= 50 - 24
D = 26
****************************************
We know the quadratic formula:
x = [ -b ± √D ]/(2a)
= [ -5√2 ± √26 ]/( 2 × 3 )
= [ -5√2 ± √26 ]/6
••••
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