Solve the following equation by factorization: √(3x^2 + x + 5) = (x - 3)

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ = (x - 3) Squaring both sides we get : ⇒ (3x2 + x + 5) = (x - 3)2 ⇒ 3x2 + x + 5 = (x2) + (32) - 2 × x × 3 ⇒ 3x2 + x + 5 = x2 + 9 - 6x ⇒ 3x2 + x + 5 - x2 - 9 + 6x = 0 ⇒ 2x2 + 7x - 4 = 0 ⇒ 2x2 - x + 8x - 4 = 0 ⇒ x(2x - 1) + 4(2x - 1) = 0 ⇒ (2x - 1)(x + 4) = 0 ⇒ (2x - 1) = 0 or (x + 4) = 0 [Using Zero-product rule] ⇒ 2x = 1 or x = -4 ⇒ x = or x = -4. Hence, x = .

Mathematics

Solve the following equation by factorization: √(3x^2 + x + 5) = (x - 3)

Quadratic Equations

Related Questions

Find the value of k for which x = 3 is a solution of the quadratic equation (k + 2)x² - kx + 6 = 0.
Thus, find the other root of the equation.

Mathematics

Solve the following equation by factorization: √(3x^2 + x + 5) = (x - 3)

Quadratic Equations

Related Questions

Find the value of k for which x = 3 is a solution of the quadratic equation (k + 2)x2 - kx + 6 = 0.Thus, find the other root of the equation.

Find the value of k for which x = 3 is a solution of the quadratic equation (k + 2)x² - kx + 6 = 0.
Thus, find the other root of the equation.