Question

factorize 7√3x^2 +10x+√3​

Answer 1

Answer:

the answer is -√3/7 and -√3/3

Answer 2

Question :--- Factorize 7√3x² + 10x + √3 .

Formula used :--

→ put the Given Equation to 0 .

→ Sridharacharya formula for Solving Quadratic Equation ax² +bx + c = 0 says that,

→ x = [ -b±√(b²-4ac) / 2a ]

or,

→ x = [ - b± √D /2a ] where D(Discriminant)= b²-4ac

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Solution :---

Given Equation is 7√3x² + 10x + √3.

we have ,

→ a = 7√3

→ b = 10

→ c = √3

Putting values we get,

→ D = b² - 4ac

→ D = (10)² - 4*7√3*√3

→ D = 100 - 4*7*3

→ D = 100 - 84

→ D = 16

Putting this value in formula now , we get,

→ x = -b ± √D/2a

→ x = (-10 ± √16) / (2*7√3)

→ x = (-10±4) / 14√3

→ x = (-10+4)/14√3 or, (-10-4)/14√3

→ x = (-6)/14√3 or , (-14)/14√3

→ x = (-3)/7√3 , or , (-1)/√3 .

Now, Rationalizing both values we get,

→ x = (-3/7√3) * (√3/√3)

→ x = (-3√3)/(7√3*√3)

→ x = (-3√3)/21

→ x = (-√3)/7

Or,

→ x = (-1/√3) * (√3/√3)

→ x = (-√3)/(√3*√3)

→ x = (-√3)/3

Hence, x € { (-√3)/7 , (-√3)/3 }