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Mathematics

Grade10

Easy

Question

Find the solution of the quadratic equation $8 straight x squared minus 6 straight x minus 5 equals 0$ .

_{$x = \frac{5}{4}, x = - \frac{1}{2}$}
_{$x = \frac{3}{4}, x = - \frac{1}{2}$}
$x = \frac{2}{4}, x = - \frac{1}{2}$
$x = \frac{5}{4}, x = \frac{1}{2}$

The correct answer is: _{$straight x equals 5 over 4 comma space straight x equals negative 1 half$}

$8 straight x squared minus 6 straight x minus 5 equals 0 8 straight x squared minus 10 straight x plus 4 straight x minus 5 equals 0 2 straight x left parenthesis 4 straight x minus 5 right parenthesis plus 1 left parenthesis 4 straight x minus 5 right parenthesis equals 0 left parenthesis 4 straight x minus 5 right parenthesis left parenthesis 2 straight x plus 1 right parenthesis equals 0 4 straight x minus 5 equals 0 comma space 2 straight x plus 1 equals 0 straight x equals 5 over 4 comma space straight x equals negative 1 half$

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