Question

$\huge\mathcal{\purple{(✷‿✷) Question࿐}}$

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

4√3x²+5x-2√3=0
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Answer 1

$\huge\sf{\purple{ Question࿐}}$

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

4√3x²+5x-2√3=0

$\huge\sf{\purple{Answer࿐}}$

• 4√3x²+5x-2√3=0

• a = 4√3
• b = 5
• c = -2√3

• by using quadratic formula :
• $\sf{x = \frac{ - b ± \sqrt{b {}^{2} - 4ac } }{2a} }$
• $\sf{x = \frac{ - (5)± \sqrt{(5) {}^{2} - 4(4 \sqrt{3})( - 2 \sqrt{3} ) } }{2(4 \sqrt{3} )} }$
• $\sf{x = \frac{ - 5± \sqrt{25 + 96} }{8 \sqrt{3} } }$
• $\sf{x = \frac{ - 5 ± \sqrt{121} }{8 \sqrt{3} } }$
• $\sf{x = \frac{ - 5±11}{8 \sqrt{3} } }$
• $\sf{x = \frac{ - 5 - 11}{8 \sqrt{3} } , \frac{ - 5 + 11}{8 \sqrt{3} } }$
• $\sf{x = \frac{ - 16}{8 \sqrt{3} }, \frac{6}{8 \sqrt{3} } }$
• $\sf{x = \frac{ - 2}{ \sqrt{3} } , \frac{3}{4 \sqrt{3} } }$
• $\boxed{ \sf{x = - \frac{2 }{ \sqrt{3} } , \frac{3}{4 \sqrt{3} } } }$