Question

Find the roots of x²-4x+7=0​

Answer 1

Answer:

x = -12

Step-by-step explanation:

Use the quadratic formula

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

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

2

−

4

+

7

=

0

x^{2}-4x+7=0

=

1

a={\color{#c92786}{1}}

=

−

4

b={\color{#e8710a}{-4}}

=

7

c={\color{#129eaf}{7}}

=

−

(

−

4

)

±

(

−

4

)

2

−

4

⋅

1

⋅

7

√

2

⋅

1

x=\frac{-({\color{#e8710a}{-4}}) \pm \sqrt{({\color{#e8710a}{-4}})^{2}-4 \cdot {\color{#c92786}{1}} \cdot {\color{#129eaf}{7}}}}{2 \cdot {\color{#c92786}{1}}}

2

Simplify

Evaluate the exponent

Multiply the numbers

Subtract the numbers

Multiply the numbers

=

4

±

−

1

2

√

2