Question

Find the quadratic equation of x² - 4x+16 =0​

Answer 1

Use the quadratic formula

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

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

a = 1, b = −4, c = 16

$x=\frac{-{\color{#e8710a}{-4}} \pm \sqrt{{\color{#e8710a}{-4}}^{2}-4×{\color{#c92786}{1}}×{\color{#129eaf}{16}}}}{2{\color{#c92786}{1}}}$

$x=\frac{4 \pm \sqrt{{\color{#c92786}{(-4)^{2}}}-4 \cdot 1 \cdot 16}}{2 \cdot 1}$

$x=\frac{4 \pm \sqrt{{\color{#c92786}{16}}-4 \cdot 1 \cdot 16}}{2 \cdot 1}$

$x=\frac{4 \pm \sqrt{16{\color{#c92786}{-64}}}}{2 \cdot 1}$

$x=\frac{4 \pm \sqrt{-48}}{{\color{#c92786}{2}} {\color{#c92786}{}}}$

No real solutions because the discriminant is negative

The square root of a negative number is not a real number

Discriminant = −48

Answer 2

Answer:

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