Find the roots of the equation 2x2 + x – 10 = 0
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Answer:
2x
2
+x−10=0
⇒ 2x
2
+5x−4x−10=0
⇒ x(2x+5)−2(2x+5)=0
⇒ (2x+5)(x−2)=0
⇒ 2x+5=0 and x−2=0
⇒ x=−
2
5
and x=2
⇒ x=−2.5 and x=2
∴ x={−2.5,2}
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