solve the quadratic equation 2 x square minus x minus 6 is equal to zero
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The solutions for the given quadratic equation 2x² - x - 6 = 0 are x = 2 and x = -3/2.
• The given quadratic equation is :
2x² - x - 6 = 0
( The second term has to broken into two terms in a way that their multiplication results in the product of the first and third terms, and their addition or subtraction results in the second term itself )
=> 2x² - 4x + 3x - 6 = 0
=> 2x (x - 2) + 3(x - 2) = 0
=> (x - 2) + (2x + 3) = 0
=> x - 2 = 0 , 2x + 3 = 0
=> x = 2, x = -3/2
• Therefore, the values of x are 2 and -3/2.
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