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Express the following in mathematical forms. Simplify and give your answer with the correct signs. Remember to use the BDMAS rule. Twenty four is added to,fifteen divided by three |
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Answer» Explanation:x2−4x−3 is of the form ax2+bx+c , with a=1 , b=−4 and c=−3 .This has discriminant Δ given by the FORMULA:Δ=b2−4ac=(−4)2−(4×1×−3)=16+12=28=22⋅7 This is POSITIVE but not a perfect square, so x2−4x−3=0 has TWO DISTINCT irrational ROOTS.Use the quadratic formula to give the roots:x=−b±√b2−4ac2a=−b±√Δ2a =4±2√72=2±√7 |
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