Find the value of x, if a + 7 = 0; b + 10 = 0 and 12x² = ax - b.

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KnowledgeBoat · Accepted Answer

Given, ⇒ a + 7 = 0 and b + 10 = 0 ⇒ a = -7 and b = -10 Substituting value of a and b in 12x² = ax - b, ⇒ 12x² = (-7)x - (-10) ⇒ 12x² = -7x + 10 ⇒ 12x² + 7x - 10 = 0 ⇒ 12x² + 15x - 8x - 10 = 0 ⇒ 3x(4x + 5) - 2(4x + 5) = 0 ⇒ (3x - 2)(4x + 5) = 0 ⇒ 3x - 2 = 0 or 4x + 5 = 0 [Using Zero-product rule] ⇒ 3x = 2 or 4x = - 5 ⇒ x = . Hence, x = .

Mathematics

Find the value of x, if a + 7 = 0; b + 10 = 0 and 12x² = ax - b.

Quadratic Equations

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Use the substitution 2x + 3 = y to solve for x, if 4(2x + 3)² - (2x + 3) - 14 = 0.

Mathematics

Find the value of x, if a + 7 = 0; b + 10 = 0 and 12x2 = ax - b.

Quadratic Equations

Related Questions

Use the substitution 2x + 3 = y to solve for x, if 4(2x + 3)2 - (2x + 3) - 14 = 0.

Find the value of x, if a + 7 = 0; b + 10 = 0 and 12x² = ax - b.

Use the substitution 2x + 3 = y to solve for x, if 4(2x + 3)² - (2x + 3) - 14 = 0.