Question

खालील वर्गसमीकरण सूत्र पद्धतीने सोडवण्यासाठी कृती पूर्ण करा.

2x² + 13x + 15 = 0

कृती: 2x² + 13x + 15 = 0

a = (______), b = 13, c = 15

b² – 4ac = (13)² – 4 × 2 × (______) 

= 169 – 120

b² – 4ac = 49

x = `(-b ± sqrt(b^2 - 4ac))/(2a)`

x = `(-"(______)" ± sqrt49)/4` 

x = `(-13 ± "(______)")/4`

x = `6/4` किंवा x = `(-20)/4`

x = (______) किंवा x = (______)

Answer 1

2x² + 13x + 15 = 0

a = 2, b = 13, c = 15 

b² – 4ac = (13)² – 4 × 2 × 15

= 169 – 120

b² – 4ac = 49

x = `(-b ± sqrt(b^2 - 4ac))/(2a)`

∴ x = `(-(underline13) ± sqrt49)/4`

∴ x = `(-13 ± 7)/4`

∴ x = `(-13 + 7)/4` किंवा x = `(-13 - 7)/4`

∴ x = `(-6)/4` किंवा x = `(-20)/4`

∴ x = `underline((-3)/2)` किंवा x = -5