csat-suneung 2005 Q20

csat-suneung · South-Korea · csat__math-science 3 marks Solving quadratics and applications Solving an equation via substitution to reduce to quadratic form
Find the product of all real roots of the irrational equation $x ^ { 2 } + 7 x + 10 + \sqrt { x ^ { 2 } + 7 x + 12 } = 0$. [3 points]
Find the product of all real roots of the irrational equation $x ^ { 2 } + 7 x + 10 + \sqrt { x ^ { 2 } + 7 x + 12 } = 0$. [3 points]