How do you find the solution to the quadratic equation $2x^2 + 7 = 3x$ ?

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Answer 1 · 2018-06-18T05:00:20

$color(maroon)(x_+ = (3 + i sqrt(47)) / 4, x_- = (3 - i sqrt(47))/4$

$2x^2 + 7 = 3x$

$2x^2 - 3x + 7 = 0$

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$a = 2, b = -3, c = 7$

$x = (-(-3) +- sqrt((-3)^2 - (4 * 2 * 7)))/(2 * 2)$

$x = (3 +- sqrt(9 - 56) ) / 4$

$x = (3 +- sqrt(-47)) / 4$

$color(maroon)(x_+ = (3 + i sqrt(47)) / 4, x_- = (3 - i sqrt(47))/4$

How do you find the solution to the quadratic equation 2x^2 + 7 = 3x2x^2 + 7 = 3x?