Mathematics, 11.12.2021 17:20 amp46
Solve by using the quadratic formula. (If there is no solution, enter NO SOLUTION.)
1/7x^2+1=3/7x
smaller value of x =
larger value of x=
Answers: 3
![\dfrac 17 x^2 + 1 = \dfrac 37 x\\\\\implies x^2 +7 =3x~~~;[\text{Multiply both sides by 7}]\\\\\implies x^2 -3x +7 =0\\\\\text{Apply quadratic formula}~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}.\\\\\text{In this case ,}~ a =1, b= -3 , c =7\\\\x = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4(1)(7}}{2(1)}\\\\\implies x= \dfrac{3 \pm \sqrt{-19}}{2}\\\\\implies x =\dfrac{ 3 \pm i\sqrt{19}}2\\\\\\\text{Smaller value of x } =\dfrac{ 3 -i\sqrt{19}}2\\\\\text{Larger value of x } =\dfrac{ 3 +i\sqrt{19}}2](/tpl/images/2592/3522/7c692.png)
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Solve by using the quadratic formula. (If there is no solution, enter NO SOLUTION.)
1/7x^2+1=3/7x<...
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