Question

solve x²-5x+6=0 by using quadratic formula​

Answer 1

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}}}

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

−

5

+

6

=

0

x^{2}-5x+6=0

x2−5x+6=0

=

1

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

a=1

=

−

5

b={\color{#e8710a}{-5}}

b=−5

=

6

c={\color{#129eaf}{6}}

c=6

=

−

(

−

5

)

±

(

−

5

)

2

−

4

⋅

1

⋅

6

√

2

⋅

1

Answer 2

$\rm \: Use \: the \: quadratic \: formula \\ </p><p></p><p>=−±2−4√2 \\ </p><p></p><p>x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}} \\ </p><p></p><p>Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula. \\ </p><p></p><p></p><p></p><p>x^{2}-5x+6=0 \\ </p><p></p><p></p><p></p><p>a={\color{#c92786}{1}} \\ \\ </p><p></p><p></p><p></p><p>b={\color{#e8710a}{-5}} \\ \\ </p><p></p><p></p><p></p><p>c={\color{#129eaf}{6}} \\ \\ </p><p></p><p></p><p></p><p>x=\frac{-({\color{#e8710a}{-5}}) \pm \sqrt{({\color{#e8710a}{-5}})^{2}-4 \cdot {\color{#c92786}{1}} \cdot {\color{#129eaf}{6}}}}{2 \cdot {\color{#c92786}{1}}} \\ \\ </p><p></p><p></p><p></p><p>Simplify \\ \\ </p><p></p><p>Evaluate the exponent \\ \\ </p><p></p><p>Multiply the numbers \\ \\ </p><p></p><p>Subtract the numbers \\ \\ </p><p></p><p>Evaluate the square root \\ \\ </p><p></p><p>Multiply the numbers \\ \\ </p><p></p><p></p><p></p><p>x=\frac{5 \pm 1}{2} \\ \\ </p><p></p><p></p><p></p><p>Separate the equations \\ \\ </p><p></p><p>To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus. \\ \\ </p><p></p><p></p><p></p><p>x=\frac{5+1}{2} \\ \\ </p><p></p><p>=5−12 \\ \\ </p><p></p><p>x=\frac{5-1}{2} \\ \\ </p><p></p><p></p><p></p><p>Solve \\ \\ </p><p></p><p>Rearrange and isolate the variable to find each solution \\ \\ </p><p></p><p>=3 \\ \\ </p><p></p><p>x=3x=3 \\ \\ =2 \\ \\ x=2x=2 \\ \\ Solution \\ \\ =3 \\ \\ =2 \\ \\ </p><p></p><p>$