1. Solve the quadratic equation 2x²-x-21 = 0 by factorisation.
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Given :-
A quadratic equation : 2x² - x - 21 = 0
What does quadratic equations mean?
Quadratic equations means that the highest power of the variable in the equation is 2.
Solving this equation by Factorisation method.
2x² - x - 21 = 0
2x² + 6x - 7x - 21 = 0
2x(x + 3) - 7(x + 3) = 0
(2x - 7)(x + 3) = 0
As we know that if the product of two terms is equal to zero then either first term is equal to zero or second term is equal to zero.
2x - 7 = 0 or x + 3 = 0
x = 7/2 x = - 3
x = 7/2 or -3
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