A) \( \Large 3 \ and \ \frac{5}{2} \) |
B) \( \Large -3 \ and \ -\frac{5}{2} \) |
C) \( \Large 5 \ and \ \frac{3}{2} \) |
D) \( \Large -5 \ and \ -\frac{3}{2} \) |
A) \( \Large 3 \ and \ \frac{5}{2} \) |
\( \Large 2x^{2} - \left(6x + 5x\right) + 15 = 0 \)
[by factorization method]
= \( \Large 2x^{2} - 6x - 5x + 15 = 0 \)
= \( \Large 2x \left(x - 3\right) - 5 \left(x - 3\right) = 0 \)
= \( \Large \left(2x - 5\right) \left(x - 3\right) = 0 \)
Therefore, \( \Large x = \frac{5}{2}, 3 \)
Hence, the roots are \( \Large \frac{5}{2}, 3 \)
1). The quadratic equation whose roots are 3 and -1, is
| ||||
2). \( \Large x^{2}+x-20=0; y^{2}-y-30=0 \)
| ||||
3). \( \Large 225x^{2}-4=0; \sqrt{225y}+2=0 \)
| ||||
4). \( \Large \frac{4}{\sqrt{x}}+\frac{7}{\sqrt{x}}=\sqrt{x;} \) \( \Large y^{2}-\frac{ \left(11\right)^{\frac{5}{2}} }{\sqrt{y}} =0 \)
| ||||
5). \( \Large x^{2}-365=364; y-\sqrt{324}=\sqrt{81} \)
| ||||
6). \( \Large 3x^{2}+8x+4=0; 4y^{2}-19y+12=0 \)
| ||||
7). \( \Large x^{2}-x-12=0; y^{2}+5y+6=0 \)
| ||||
8). \( \Large x^{2}-8x+15=0; y^{2}-3y+2=0 \)
| ||||
9). \( \Large x^{2}-32=112; y-\sqrt{169}=0 \)
| ||||
10). \( \Large x-\sqrt{121}=0; y^{2}-121=0 \)
|