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Calcolatrice di Formula quadratica

Risolvete i vostri problemi di matematica con la nostra calcolatrice Formula quadratica passo-passo. Migliorate le vostre abilitΓ  matematiche con il nostro ampio elenco di problemi impegnativi. Trova tutte le nostre calcolatrici qui.

x2+6x+8=0
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ModalitΓ  simbolica
ModalitΓ  testo
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Here, we show you a step-by-step solved example of quadratic formula. This solution was automatically generated by our smart calculator:

x2+6x+8=0x^2+6x+8=0
2

Find the roots of the equation using the Quadratic Formula

x2+6x+8=0x^2+6x+8=0
3

To find the roots of a polynomial of the form ax2+bx+cax^2+bx+c we use the quadratic formula, where in this case a=1a=1, b=6b=6 and c=8c=8. Then substitute the values of the coefficients of the equation in the quadratic formula: x=βˆ’bΒ±b2βˆ’4ac2a\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=βˆ’6Β±62βˆ’4β‹…82x=\frac{-6\pm \sqrt{6^2-4\cdot 8}}{2}

Simplifying

x=βˆ’6Β±62βˆ’4β‹…82x=\frac{-6\pm \sqrt{6^2-4\cdot 8}}{2}

Multiply βˆ’4-4 times 88

x=βˆ’6Β±62βˆ’322x=\frac{-6\pm \sqrt{6^2-32}}{2}

Calculate the power 626^2

x=βˆ’6Β±36βˆ’322x=\frac{-6\pm \sqrt{36-32}}{2}

Add the values 3636 and βˆ’32-32

x=βˆ’6Β±42x=\frac{-6\pm \sqrt{4}}{2}

Calculate the power 4\sqrt{4}

x=βˆ’6Β±22x=\frac{-6\pm 2}{2}
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Simplifying

x=βˆ’6Β±22x=\frac{-6\pm 2}{2}
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To obtain the two solutions, divide the equation in two equations, one when Β±\pm is positive (++), and another when Β±\pm is negative (βˆ’-)

x=βˆ’6+22,β€…x=βˆ’6βˆ’22x=\frac{-6+2}{2},\:x=\frac{-6-2}{2}
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Subtract the values 22 and βˆ’6-6

x=βˆ’42,β€…x=βˆ’6βˆ’22x=-\frac{4}{2},\:x=\frac{-6-2}{2}
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Subtract the values βˆ’6-6 and βˆ’2-2

x=βˆ’42,β€…x=βˆ’82x=-\frac{4}{2},\:x=-\frac{8}{2}
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Divide βˆ’4-4 by 22

x=βˆ’2,β€…x=βˆ’82x=-2,\:x=-\frac{8}{2}
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Divide βˆ’8-8 by 22

x=βˆ’2,β€…x=βˆ’4x=-2,\:x=-4
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Combining all solutions, the 22 solutions of the equation are

x=βˆ’2,β€…x=βˆ’4x=-2,\:x=-4

ξ ƒ Risposta finale al problema

x=βˆ’2,β€…x=βˆ’4x=-2,\:x=-4 ξ ƒ

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