Question

Find the roots by quadratic formula: 4y^2+4by-(a^2-b^2 )=0

Answer 1

★ QuestioN :

Find the roots by quadratic formula :

4y² + 4by - (a² – b² ) = 0

GIVEN :

• 4y² + 4by – ( a² + b² ) = 0

TO FIND :

• The given roots by quadratic formula, when the informations are given = ?

SolutioN :

→ 4y² + 4by – ( a² + b² ) = 0 ( GIVEN )

→ Formula ( quadratic formula ) =   x = -b + √b² – 4ac / 2a

( substituting the same formula as per the question asked )

→ y = -4y + √ (4b)² – 4×4 × (a² + b²) / 2 × 4

→ y = -4b + √16b² (a² + b²) / 2 × 4

→ y = -4b + √16b² + 16a² – 16b² / 8

→ y = -4b + √16a² / 8

→ y = -4b – 4a /8

→ y = 4 (b + a) / 8

→ y = a + b / 2

→ y = -4b + 4a /8

→ y = 4a – 4b /8

→ y = 4 (a-b) /8

→ y = a - b / 2

So, Therefore, The value of y = a + b and a - b /2