Monday

March 30, 2015

March 30, 2015

Posted by **preet0099 help me !** on Wednesday, December 5, 2012 at 7:49am.

x^2(a^2+b^2)+2x(ac+bd)+(C^2+d^2)=0 has no real roots.

- maths -
**Steve**, Wednesday, December 5, 2012 at 11:24amthe discriminant is

4(ac+bd)^2 - 4(a^2+b^2)(c^2+d^2)

junk the 4, as it does not change things, and you have

a^2c^2 + 2abcd + b^2d^2 - a^2c^2 - a^2d^2 - b^2c^2 - b^2d^2

= 2abcd - a^2d^2 - b^2c^2

= -(ad-bc)^2

since that is always negative, there are no real roots.

**Answer this Question**

**Related Questions**

Algebra II - Which describes the number and type of roots of the equation x^2 -...

Precalculus - "Show that x^6 - 7x^3 - 8 = 0 has a quadratic form. Then find the ...

maths2 - Use the discriminant to determine the number of real roots the equation...

mathematics - Use the discriminant to determine the number of real roots the ...

Pre-Calc/Trig... - Helpp needed, this is sort of confusing me. Describe the ...

maths - Show that the equation (1) divided by (x+1) - (x)divided by (x-2)=0 has ...

Math - Which describes the number and type of roots of the equation x^2-625=0? A...

maths - If the quadratic equation (8+i)x^2+(a-i)x+38-2i=0 has real roots, what ...

maths - given that a,b,c are real numbers and c is bigger than 0, prove that the...

maths - if a, b,c are real numbers and not all equal, prove that the equation (c...