## JocelynHernandez Group Title How would you describe the roots of a quadratic equation? one year ago one year ago

1. JocelynHernandez Group Title

Like: $\frac{ -3\pm \sqrt{17} }{ 4 }$

2. mathmate Group Title

Graphically, they (real zeroes) cross the x-axis. If the zeroes are complex, they do not touch the x-axis.. Numerically, the roots, x1 and x2, have the property that f(x1)=0 and f(x2)=0, where f(x)=0 is the quadratic equation.

3. rizwan_uet Group Title

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4. rizwan_uet Group Title

|dw:1358090914575:dw|

5. rizwan_uet Group Title

the roots describe the values of x for which the required quadratic function's value is zero.

6. hba Group Title

Actually we use the discriminant to determine, $\huge\ D=b^2-4ac$

7. JocelynHernandez Group Title

@hba Thats what i got as the discriminant

8. hba Group Title

$b^2-4ac>0,two \ real \ solutions$$b^2-4ac=perfect \ squar e ,Two \ real \ rational \ solutions$

9. hba Group Title

If, $b^2-4ac= no \ perfect \ sq uare,Two \ real \ irrational \ solutions$

10. hba Group Title

$b^2-4ac=0,One \ real \ solution$

11. hba Group Title

$b^2-4ac<0,No \ real \ but \ two \ imaginary \ solutions$

12. JocelynHernandez Group Title

Thanks! @hba

13. hba Group Title

You are welcome :)