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Mathematics 23 Online
OpenStudy (anonymous):

Find the value of the discriminant. Then describe the number and type of roots for the equation. x^2-v+9=0 Could Someone help me with this problem

OpenStudy (anonymous):

is v a constant???

OpenStudy (anonymous):

the value of discriminant depends on value of v.... do you know what is v?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

i think the solution of x in x^2-v+9=0 is \[x=\pm \sqrt{v-9} \] we don't need to find the discriminant ... it all depends on the value of v if the root is real or non-real...

OpenStudy (anonymous):

since in the equation the coefficent of x is 0 hence \[discriminent=\sqrt{b ^{2}-4ac}\] put b=0 then,\[discriminant=\sqrt{0^{2}-4(-v+9)}=2\sqrt{v-9}\]

OpenStudy (anonymous):

solution for x is given by \[x=[-b \pm \sqrt{b ^{2}-4ac}]/2a\] \[x=[-0\pm \sqrt{0^{2}+4(v-9)}]/2(1)\] \\[x=\pm2\sqrt{v-9}/2(1)\]\[x=\pm \sqrt{v-9}\]

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