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$0.4$ Solve the Equation $x^{5}+x^{4}.7x^{3}+11x^{2}-4x-2=0$ it beings given that one of its root $15$ $2+\sqrt{3} $

$6x^{2}+11x-35=0$ $2x^{2}-4x-2=0$ $-4x^{2}-7x+12=0$ $20x^{2}-15x-10=0$ $x^{2}-x-3=0$ $5x^{2}-2x-9=0$ $3x^{2}+4x+2=0$ $-x^{2}+6x+18=0$

$Datc$ $6$ $Dircction:$ Find the solution of the following rational equations and inequalities. $1$ $\dfrac {x+4} {x-2}$ $=0$ $Solai0n$ $2\dfrac {x^{2}-4} {x-2}=2$ $Sol$ $tion$ $3$ $\dfrac {x^{2}+x-2} {x-3}=-3$ $Solation$

Which solution for the value of $x$ In the figure at the right $1s$ incorrect? Explain. $\left(4x-2\right)^{°}$ $\left(3x+6\right)^{°}$ $-$ $A,$ $B$ $4x-2=3x+6$ $4x-2+3x-6=180$ $x=8$ $7x-8=180$ Which option is the correct answer? $1S$ $solcct\right)$ Why? [ $clcct$

$Dixectlons$ Read and answer the following each given equation fromm the choice belo paper. $A\right)cim|$ $c$ B. Ellipse C.) Hy $1\right)$ $x^{2}+y^{2}=16$ $2\right)$ $x^{2}-3x-y=0$ 3.) $\dfrac {x^{2}} {16}+\dfrac {y^{2}} {9}=1$ $4\right)$ $y^{2}-6y+8x+25=0$ $5\right)$ $x^{2}+2y^{2}-2x+8y-11=0$ $6\right)x^{2}+y^{2}-4x-2y=4$ $2$ $7\right)x^{2}+y-+4x+3=oy$ $8\right)$ $x^{2}-3x-2=oy$ $9\right)x^{2}+2x+y^{2}+2y+2=0$ $10\right)x^{2}-6x+9+y^{2}+4y=0$ $11\right)\left(x-1\right)^{2}-4y+8=0$

_6. How many real solution does $-x^{2}+4x=8$ have? a. none C. $twa$ b. one d. three 7. What is the value of the discriminant of the equation $5x^{2}-7x-2=07$ a. -9 C. 59 b. 9 d. $89$ 3. The roots of a quadratic equation are 3 and $-3$ What is the Equation? a. $x^{2}+9=0$ C. $x^{2}-3=0$ b. $x^{2}-9=0$ d. $x+3=0$ $1fx^{4}=16$ is equivalent to $\left(x^{2}\right)^{2}=16$ which of the following are two $\left(2\right)$ of its solutions? a. +2 C. 18 b. 14 d. $+16$ . Which of the following has -3 and 7 as roots? a. $x^{2}+4x-21=0$ C. $x^{2}-4x+21=0$ b. $x^{2}-4x-21=0$ d. $x^{2}+4x+21=0$