all equations that the type ax^2+bx+c=0 have the right to be resolved using the quadratic formula: frac-b±sqrtb^2-4ac2a. The quadratic formula gives two solutions, one once ± is addition and one when it is subtraction.

You are watching: Factor x^2+6x+10

This equation is in traditional form: ax^2+bx+c=0. Substitute 1 for a, 6 for b, and -10-y for c in the quadratic formula, frac-b±sqrtb^2-4ac2a.

peak is atdisplaystyleleft(-3,-25
ight) Explanation: displaystyley=x^2+6x-16=x^2+6x+3^2-9-16=left(x+3
ight)^2-25 Comparing through ...

exactly how do you deal with for displaystylex in the device of equations displaystyley=x^2+6x-17 and displaystyley=3x-7 ?

https://socratic.org/questions/how-do-you-solve-for-x-in-the-system-of-equations-y-x-2-6x-17-and-y-3x-7

x= 2 , x = - 5Explanation:Given 2 worths for y that space equal , thendisplaystylex^2+6x-17=3x-7 This is a quadratic equation , so collection terms come left next andequate come ...

bp Apr 17, 2015 A quadratic function represents a parabola, therefore its vertex and the axis of symmetry have the right to be discovered from the offered equation as followsy=displaystyle3left(x^2+2x
ight)-1 ...

-0.805 or 0.138Explanation:Assumingdisplaystyley=0you have the right to use the quadratic formuladisplaystylex=frac-b±sqrtb^2-4ac2a to find the roots of a ...

placed the equation right into vertex kind to discover that the vertex is atdisplaystyleleft(-8,-65
ight) Explanation:The vertex kind of a quadratic equation is displaystyley=aleft(x-h
ight)^2+k ...

displaystyley=x^2+3x-10=left(x+5
ight)left(x-2
ight) Explanation:Find a pair of determinants ofdisplaystyle10which different bydisplaystyle3 .The pairdisplaystyle5,2 ...

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All equations that the form ax^2+bx+c=0 have the right to be fixed using the quadratic formula: frac-b±sqrtb^2-4ac2a. The quadratic formula provides two solutions, one when ± is enhancement and one once it is subtraction.

This equation is in traditional form: ax^2+bx+c=0. Substitute 1 because that a, 6 for b, and also -10-y for c in the quadratic formula, frac-b±sqrtb^2-4ac2a.

Divide 6, the coefficient that the x term, by 2 to get 3. Then include the square that 3 come both sides of the equation. This step renders the left hand next of the equation a perfect square.

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Factor x^2+6x+9. In general, once x^2+bx+c is a perfect square, it can constantly be factored as left(x+fracb2
ight)^2.

left< eginarray together l 2 & 3 \ 5 & 4 endarray
ight> left< eginarray together l together 2 & 0 & 3 \ -1 & 1 & 5 endarray
ight>

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