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Use the factored form to solve the related question, 2x^2+17x+30=0. what are the solutions

1 Answer

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Answer: x = -6 and x = -5/2

Explanation:


$$Solve for $x$ over the real numbers: \\ $2 x^(2)+17 x+30=0$\\\\The left hand side factors into a product with two terms:$$(x+6)(2 x+5)=0$$Split into two equations:$$x+6=0 \text { and } 2 x+5=0$$Subtract 6 from both sides:$$x=-6 \text { and } 2 x+5=0$$Subtract 5 from both sides:$$x=-6 \text { and } 2 x=-5$$Divide both sides by 2 :Answer:$$x=-6 \text { and } x=-(5)/(2)$$

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