C = 0LET one root be P and then the other root will be 2.5P⇒ P + 2.5P = -B/A (Sum of ROOTS)⇒ 3.5P = -B/A ---- (1)⇒ P × 2.5P = C/A (PRODUCT of Roots)⇒ 2.5 P2 = C/A ---- (2)From equation 1 and 2⇒ 2.5 × B2/ (3.5 × 3.5 × A2) = C/A⇒ B2 = 4.9AC∴ 10B2 = 49AC

"> C = 0LET one root be P and then the other root will be 2.5P⇒ P + 2.5P = -B/A (Sum of ROOTS)⇒ 3.5P = -B/A ---- (1)⇒ P × 2.5P = C/A (PRODUCT of Roots)⇒ 2.5 P2 = C/A ---- (2)From equation 1 and 2⇒ 2.5 × B2/ (3.5 × 3.5 × A2) = C/A⇒ B2 = 4.9AC∴ 10B2 = 49AC

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If one root of the equation Ax2 + Bx + C = 0 is two and a half times the other, then which of the following is TRUE?

General Aptitude Algebra in General Aptitude . 8 months ago

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Ax2 + Bx + C = 0LET one root be P and then the other root will be 2.5P⇒ P + 2.5P = -B/A (Sum of ROOTS)⇒ 3.5P = -B/A ---- (1)⇒ P × 2.5P = C/A (PRODUCT of Roots)⇒ 2.5 P2 = C/A ---- (2)From equation 1 and 2⇒ 2.5 × B2/ (3.5 × 3.5 × A2) = C/A⇒ B2 = 4.9AC∴ 10B2 = 49AC

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