Factories : 3√3x² - 10x + √3.
As we know that,
Factories this equation into middle term splits, we get.
⇒ 3√3x² - 10x + √3.
⇒ 3√3x² - 9x - x + √3.
⇒ 3√3x(x - √3) - 1(x - √3).
⇒ (3√3x - 1)(x - √3).
Nature of the roots of quadratic expression.
(1) Roots are real and unequal, if b² - 4ac > 0.
(2) Roots are rational and different, if b² - 4ac is a perfect square.
(3) Roots are real and equal, if b² - 4ac = 0.
(4) If D < 0 Roots are imaginary and unequal Or complex conjugate.
The given quadratic equation is 3√3x2 + 10x + √3 = 0
Hence, - √3 and - √3/9 are the solutions of the given equation.
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EXPLANATION.
Factories : 3√3x² - 10x + √3.
As we know that,
Factories this equation into middle term splits, we get.
⇒ 3√3x² - 10x + √3.
⇒ 3√3x² - 9x - x + √3.
⇒ 3√3x(x - √3) - 1(x - √3).
⇒ (3√3x - 1)(x - √3).
MORE INFORMATION.
Nature of the roots of quadratic expression.
(1) Roots are real and unequal, if b² - 4ac > 0.
(2) Roots are rational and different, if b² - 4ac is a perfect square.
(3) Roots are real and equal, if b² - 4ac = 0.
(4) If D < 0 Roots are imaginary and unequal Or complex conjugate.
The given quadratic equation is 3√3x2 + 10x + √3 = 0
Hence, - √3 and - √3/9 are the solutions of the given equation.