find the roots of the following quadratic equation 15 x square minus 10 root 6 X + 10 equal to zero
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Answer:
Given polynomial : 15x² - 10√6x + 10
Using Middle Term Factorisation.
→ 15x² - 5√6x - 5√6x + 10 = 0
→ 5√3x(√3x - √2) - 5√2(√3x - √2)
→ (5√3x - 5√2)(√3x - √2)
To find the roots, these factors should be equal to zero.
Using Zero Product Rule.
→ (5√3x - 5√2) = 0 or (√3x - √2) = 0
→ x = (5√2)/(5√3) or x = √2/√3
→ x = √2/√3 or √2/√3
Hence, the roots of the above equation are √2/√3 and √2/√3.
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Answer:√6/3
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