You can put this solution on YOUR website! Compute the discriminate.
Then determine the number and type of solutions for the given equation
9x² - 7x + 5 = 0
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the equation form: a^2 + b^2 + c
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the discriminant
D = b^2 - 4*a*c
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in this equation: a=9; b=-7; c=5
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D = -7^2 - 4 * 9 * 5
D = 49 - 180
D = -131
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The rules of the discriminant
D > 0; two distinct real roots
D = 0; one real root (a double root)
D < 0; two imaginary roots, one the conjugate of the other
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Remember these rules and you will have no trouble with the discriminant
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You should be able figure out the roots in the given equation now