Question

$5m {?}^{2} - 4m - 2 = 0$
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Answer 1

Answer:

Quadratic equation : 5m² - 4m -2 = 0.

The quadratic formula = [ -b ±√( b² - 4ac ) ] / 2a

Here,

 a = coefficient of x² = 5

 b = coefficient of x = -4

 c = constant term = -2.

For 1st solution :

 ⇒ x = [ -b + √( b² - 4ac ) ] / 2a

 ⇒ x = [ -( -4 ) + √ {(-4)² - 4 × 5 × ( -2 ) } ] / 2 ( 5 )

 ⇒ x = [ 4 + √ ( 16 + 40 ) ] / 10

 ⇒ x = [ -4 + √56 ] / 10

 ⇒ x = [ 4 + 2√14 ] / 10

 ⇒ x = [ 2 ( 2 + √14 ) ] / 10

 ⇒ x = ( 2 + √14 ) / 5.

For another solution :

⇒ x = [ -b - √ ( b² - 4ac ) ] / 2a

⇒ x = [ - ( -4 ) - √ { ( -4 )² - 4 × 5 × ( -2 ) } ] / 2 × 5

⇒ x = [ 4 - √ ( 16 + 40 ) ] / 10

⇒ x = [ 4 - √56 ] / 10

⇒ x = [ 4 - 2√14 ] / 10

⇒ x = [ 2 ( 2 - √14 ) ] / 10

⇒ x = ( 2 - √14 ) / 5.

The zeroes are ( 2 + √14 ) / 5 and ( 2 - √14 ) / 5

Hope it helps !!

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Step-by-step explanation:

Answer 2

here your answer

Answer

5m

2

−4m−2=0

a=5,b=−4,c=−2

m=

2a

−b±

b

2

−4ac

m=

2⋅5

−(−4)±

(−4)

2

−4⋅5(−2)

=

10

4±

56

m=

5

2±

14