Solve each of the following equations for x and give, in each case, your answer correct to one decimal place:
5x2 + 10x – 3 = 0
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Step-by-step explanation: 5x² + 10x - 3 = 0 , a=5,b=10,c=-3
-10±√(10)²-4×5×-3÷2×5 ⇒ -10±√160÷10⇒ -10±4√10÷10⇒ -2(5±2√10)÷10
⇒ 5±2√10÷-5 ⇒5±2×3.162÷-5 (√10 = 3.162) ⇒ therefore 5+6.324÷-5 ⇒ 11.324÷-5 = -2.26 = -2.3 and 5-6.324÷-5 ⇒ -1.324÷-5 = 0.264 = 0.26
so answer is -2.23 and 0.26
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