Question

Factorise it such that answer comes root3/4 and -2root3/3​

Answer 1

ANSWER:

Given

• 4√3x² + 5x - 2√3 = 0

It is a quadratic equation

To Prove:

Prove that roots are √3/4 & -2√3/3

Solving by factorisation

⇒ 4√3x² + 5x - 2√3 = 0

Splitting the middle term

⇒ 4√3x² + 8x - 3x - 2√3 = 0

⇒ 4x(√3x + 2) - √3(√3x + 2) = 0

⇒ (√3x + 2)(4x - √3) = 0

→ √3x + 2 = 0

→ √3x = - 2

→ x = -2/√3

Simplifying by rationalising the denominator

→ x = - 2√3/√3(√3)

→ x = -2√3/3

_______________

♦ 4x - √3 = 0

♦ 4x = √3

♦ x = √3/4

Hence , roots are -2√3/3 & √3/4

Hence, proved