Solve the quadratic equation. 2x2 + 35 = 17x
answer choices A) 7/2and 5 B) -7\2and 5 C) -7\2and -5 D) 2/7and 1/5
2x^2+35-17x=0 now divide the equation by the coefficient of x^2 \(\LARGE{{2x^2+35-17x \over 2}=\dfrac{0}{2}}\) \(\LARGE{x^2+\dfrac{35}{2}-\dfrac{17x}{2}=0}\) \(\LARGE{x^2+({-17/2}) \space x=-35/2}\)
There are three methods we can implement. 1) Using the quad formula 2)breaking the middle term 3)Completing the square method.
For Using The Quad formula you would have to compare your equation with the standard equation. Which is, \[\huge\ ax^2+bx+c=0\] And determine a,b and c.
\[x^2-\dfrac{17}{2}x +\left( 17 \over 4 \right)^2={-35 \over 2}+\left( 17 \over 4 \right)^2\]
Then Using the Quad formula, \[\huge\ x=\frac{ -b \pm \sqrt{b^2-4ac} }{ 2a }\] @jiteshmeghwal9 has showed completing the square method.
\[(x+\dfrac{17}{4})^2={-35 \over 2}+\dfrac{289}{16}\]
Now can u do it further @Pookiieluvzyhu ??
Looks like @jazy is gonna take a day lol :P
yea yea..kk thanks...let me read over what yall said.it was alot lollz.. thanks @jiteshmeghwal9 @hba @jazy
yw :)
Well, you could use the Quad formula. Quadratic equation - \[ax^2 + bx + c\]You have...\[2x^2 - 17x + 35\] a = 2 b = -17 c = 35 Quadratic Formula.\[\frac{ -b \pm \sqrt{b^2 - 4ac} }{2a }\]Plug in the values.\[\frac{ 17 \pm \sqrt{49 - 4(2)(35)}}{ 2(2) } \]Solve.
Welcome :)
Wow that took a longgggg time to post O_O
Welcome if it helps lol. (:
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