sarahkw03
Answered

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What are the solutions of x2 - 2x + 10 = 0 ?

What Are The Solutions Of X2 2x 10 0 class=

Sagot :

aliisnice1212

Answer:

Step-by-step explanation:

=

−

±

2

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4

√

2

x

=

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b

±

b

2

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4

a

c

2

a

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

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2

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1

0

=

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x

2

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2

x

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10

=

0

x2−2x+10=0

=

1

a

=

1

a=1

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2

b

=

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2

b=−2

=

1

0

c

=

10

c=10

=

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(

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2

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(

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2

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2

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4

⋅

1

⋅

1

0

√

2

⋅

1

x

Answer:

C. x=1+3i, x=1-3i

Step-by-step explanation:

[tex]\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:10}}{2\cdot \:1} \\=\frac{-\left(-2\right)\pm \:6i}{2\cdot \:1}\\x_1=\frac{-\left(-2\right)+6i}{2\cdot \:1},\:x_2=\frac{-\left(-2\right)-6i}{2\cdot \:1}\\\frac{-\left(-2\right)+6i}{2\cdot \:1}\\ =\frac{2+6i}{2\cdot \:1}\\=\frac{2+6i}{2}\\=\frac{2\left(1+3i\right)}{2}\\1+3i\\\\\\frac{-\left(-2\right)-6i}{2\cdot \:1}\\=\frac{2-6i}{2\cdot \:1}\\=\frac{2-6i}{2}\\=\frac{2\left(1-3i\right)}{2}\\1-3i\\x=1+3i,\:x=1-3i[/tex]

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