Menu Close

x-5-x-2-17-x-find-the-value-of-x-




Question Number 26262 by soyebshaikh41@gmail.com last updated on 23/Dec/17
(x+5) (x−2)=17−x find the value of x
$$\left(\mathrm{x}+\mathrm{5}\right)\:\left(\mathrm{x}−\mathrm{2}\right)=\mathrm{17}−\mathrm{x}\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x} \\ $$
Answered by Rasheed.Sindhi last updated on 23/Dec/17
x^2 +3x−10−17+x=0  x^2 +4x−27=0  x=((−(4)±(√((4)^2 −4(1)(−27))))/(2(1)))       =((−4±(√(16+108)))/2)       =((−4±(√(124)))/2)       =((−4±2(√(31)))/2)       =−2±(√(31))
$$\mathrm{x}^{\mathrm{2}} +\mathrm{3x}−\mathrm{10}−\mathrm{17}+\mathrm{x}=\mathrm{0} \\ $$$$\mathrm{x}^{\mathrm{2}} +\mathrm{4x}−\mathrm{27}=\mathrm{0} \\ $$$$\mathrm{x}=\frac{−\left(\mathrm{4}\right)\pm\sqrt{\left(\mathrm{4}\right)^{\mathrm{2}} −\mathrm{4}\left(\mathrm{1}\right)\left(−\mathrm{27}\right)}}{\mathrm{2}\left(\mathrm{1}\right)} \\ $$$$\:\:\:\:\:=\frac{−\mathrm{4}\pm\sqrt{\mathrm{16}+\mathrm{108}}}{\mathrm{2}} \\ $$$$\:\:\:\:\:=\frac{−\mathrm{4}\pm\sqrt{\mathrm{124}}}{\mathrm{2}} \\ $$$$\:\:\:\:\:=\frac{−\mathrm{4}\pm\mathrm{2}\sqrt{\mathrm{31}}}{\mathrm{2}} \\ $$$$\:\:\:\:\:=−\mathrm{2}\pm\sqrt{\mathrm{31}} \\ $$
Commented by prakash jain last updated on 25/Dec/17
Hi Rasheed, can you look at Q26312
Commented by Rasheed.Sindhi last updated on 26/Dec/17
THαnks Sir, once I tried but  couldn′t solve. Now I′ll try again.
$$\mathcal{TH}\alpha{nks}\:\mathcal{S}{ir},\:{once}\:{I}\:{tried}\:{but} \\ $$$${couldn}'{t}\:{solve}.\:{Now}\:{I}'{ll}\:{try}\:{again}. \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *