9(5 x －11) 2 －( x ＋7) 2 =0 , x=?

20 7 o r 13 8 \frac{20}{7}\ or\ \frac{13}{8} 7 2 0 o r 8 1 3

13 7 o r 21 8 \frac{13}{7}\ or\ \frac{21}{8}\ 7 1 3 o r 8 2 1

26 3 o r 15 7 \frac{26}{3}\ or\ \frac{15}{7} 3 2 6 o r 7 1 5

17 8 o r 21 6 \frac{17}{8}\ or\ \frac{21}{6} 8 1 7 o r 6 2 1

八上三段總複習 Quiz

20 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

$-x^2+4x+21=0$

$x=-7\ or\ 3$

$x\ =\ 7\ or\ 3$

$x\ =\ -7\ or\ -3$

$x\ =\ 7\ or\ -3$

2.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

$3x^2+13x+73=0$ 解的情形

無解

兩相異實根

無限多解

重根

3.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

$x^2+34x+289=0$ 解的情形

無解

無限多解

兩相異實根

重根

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

解 $\left(x-3\right)\left(x+2\right)=2\left(x-3\right)$

3

0 或 3

$-4$ 或 3

0 或 2

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

若 $\alpha$ 為方程 $x^2-4x+9=0$ 的根，則 $3+8\alpha-2\alpha^2=$ ？

12

21

$-15$

$-6$

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

若方程 $x^2+ax+b=0$ 無解，下列哪一項是正確的？

$b^2-4a<0$

$a^2-4b<0$

$b^2-4a>0$

$a^2-4b>0$

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

設 $a$ 為一常數。若二次方程 $x^2+2ax+\left(a+1\right)^2=0$ 有兩相異解，下列何者正確？

$a>\frac{-1}{2}$

$a<\frac{-1}{2}$

$a<-2$

$a>-2$

8.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

設 $a$ 為一常數。若二次方程 $x^2+ax+a=-3$ 有重根，則 $a=$ ？

$-2$ 或 6

2 或 $-6$

2 或 6

$-2$ 或 $-6$

9.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

若一元二次方程式 $x^2+2x+\left(k^2+2k+1\right)=0$ ，恰一個解為0，則k為何？

0

-1

1

2

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

若有一元二次方程式的解為2、-3，則可能為下列哪個方程式？

$3x^2+3x-18=0$

$x^2-x+2=0$

$x^2+3x=0$

$3x^2+3x-21=0$

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八上三段總複習

−x2+4x+21=0-x^2+4x+21=0−x2+4x+21=0

3x2+13x+73=03x^2+13x+73=03x2+13x+73=0 解的情形

x2+34x+289=0x^2+34x+289=0x2+34x+289=0 解的情形

解 (x−3)(x+2)=2(x−3)\left(x-3\right)\left(x+2\right)=2\left(x-3\right)(x−3)(x+2)=2(x−3)

若 α\alphaα 為方程 x^2-4x+9=0x2−4x+9=0 的根，則 3+8α−2α2=3+8\alpha-2\alpha^2=3+8α−2α2= ？

若方程 x^2+ax+b=0x2+ax+b=0 無解，下列哪一項是正確的？

設 aaa 為一常數。若二次方程 x2+2ax+(a+1)2=0x^2+2ax+\left(a+1\right)^2=0x2+2ax+(a+1)2=0 有兩相異解，下列何者正確？

設 aaa 為一常數。若二次方程 x2+ax+a=−3x^2+ax+a=-3x2+ax+a=−3 有重根，則 a=a=a= ？

若一元二次方程式 x2+2x+(k2+2k+1)=0x^2+2x+\left(k^2+2k+1\right)=0x2+2x+(k2+2k+1)=0 ，恰一個解為0，則k為何？

若有一元二次方程式的解為2、-3，則可能為下列哪個方程式？

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$-x^2+4x+21=0$

$3x^2+13x+73=0$ 解的情形

$x^2+34x+289=0$ 解的情形

解 $\left(x-3\right)\left(x+2\right)=2\left(x-3\right)$

若 $\alpha$ 為方程 $x^2-4x+9=0$ 的根，則 $3+8\alpha-2\alpha^2=$ ？

若方程 $x^2+ax+b=0$ 無解，下列哪一項是正確的？

設 $a$ 為一常數。若二次方程 $x^2+2ax+\left(a+1\right)^2=0$ 有兩相異解，下列何者正確？

設 $a$ 為一常數。若二次方程 $x^2+ax+a=-3$ 有重根，則 $a=$ ？

若一元二次方程式 $x^2+2x+\left(k^2+2k+1\right)=0$ ，恰一個解為0，則k為何？