The solution of 2x² + x − 4 = 0 is x = ( -1 ± √33 ) / 2.
A quadratic equation is what can be written in the form of ax²+bx+c=0
The equation is,
2x² + x − 4 = 0
To solve the equation, the equation needs to be factorized.
It can be also solved using the formula for determining roots.
x = ( -b ± √ (b² -4ac)) / 2a
Comparing it with the standard equation ax²+bx+c=0.
a = 2, b = 1, c = -4
Substituting the values
x = ( -1 ± √ (1² -4*2*-4)) / 2 * 2
x = ( -1 ± √ (1 + 32)) / 2 * 2
x = ( -1 ± √33 ) / 2
The solution of the given quadratic equation is x = ( -1 ± √33 ) / 2.
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