Question

Decide which of the following is the quadratic equation?

3x²-5x+3=0


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Answer 1

$\pink{3 {x}^{2} - 5x + 3 = 0} \\ \\ a {x}^{2} + bx + c = 0 \\ \\ \: \: \: \: \: \: \: \: \: \: \: a = 3 \: \: \: \: \: b = - 5 \: \: \: \: \: c = 3 \\ \\ \red{d = {b}^{2} - 4ac} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {( -5 )}^{2} - 4 \times 3 \times 3 \\ \\ \: \: \: = 25 - 24 \\ \\ = 1 \: \: \: \: \: \: \: \: \: \\ \\ \blue{ x = \frac{ - b( + - ) \sqrt{d} }{2a} } \: \: \: \: \: \: \: \: \: \\ \\ x = \frac{ - ( - 5)( + - ) \sqrt{1} }{2 \times 3} \\ \\ x = \frac{5( + - )1}{6} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x = \frac{5 + 1}{6} \: \: \: \red{or} \: \: \: x = \frac{5 - 1}{6} \\ \\ x = \frac{6}{6} \: \: \red{or} \: \: \: x = \frac{4}{6} \\ \\ x = 1 \: \: \: \red{or} \: \: \: \: x = \frac{2}{3}$

HOPE IT HELPS TO U

IT'S A QUADRATIC EQUATION