Question

x ^ 2 - 18x + 32 = 0

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Answer 1

1

Use the quadratic formula

=

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±

2

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4

√

2

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

2

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1

8

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3

2

=

0

x^{2}-18x+32=0

x2−18x+32=0

=

1

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

a=1

=

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1

8

b={\color{#e8710a}{-18}}

b=−18

=

3

2

c={\color{#129eaf}{32}}

c=32

=

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(

−

1

8

)

±

(

−

1

8

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2

−

4

⋅

1

⋅

3

2

√

2

⋅

1

Answer 2

$\blue{ \Large{\boxed{ \tt{ \red{Answer : }}}}}$

${x}^{2} - 18x + 32 = 0 \\ {x}^{2} - 18x = 0 + 32 \\ {x}^{2} - 18x = 32 \\ {x}^{2} - x = \frac{32}{18} \\ {x}^{2} - x = 1.77778$