Find the roots of 2x2 + x – 4 = 0 by applying the quadratic formula.
Answers
Answer:
Step-by-step explanation:
he quadratic equation is given by 2x^2+x-4.
see the general form of quadratic equation is ax^2+bx+c.
so, a=2, b=1, c=-4.
THE FORMULA FOR FINDING ROOTS OF A QUADRATIC EQUATION IS:-
-b+_ sq.rt (b^2-4ac)/2a.
so, it is seeming easy now,
the roots are -1+_sq.rt {(-b)2-4×2×(-4)}/2×2
=-1+_sq.rt (1^2+32)/4
=-1+_sq.rt 33/4.
now, -1 +_ root 33/4=0
so it will be either -1+root 33 or -1-root 3
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Answer
2x2+x−4=0
Compairing with ax2+bx+c=0
a = 2 b = 1 c = -4
∴2a−b±b2−4ac
=2×2−1±12−4×2(−4)
4−1±33
∴x=4−1+33 OR x=4−1−33

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