Question

find
the roots of quadric equation
2x2 +5x+2=0
useing quadratic fomlua
.

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.

22+5+2=0

2x^{2}+5x+2=02x2+5x+2=0

=2

a={\color{#c92786}{2}}a=2

=5

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

=2

c={\color{#129eaf}{2}}c=2

=−5±52−4⋅2⋅2√2⋅2