Question

solve the following quadratic equation in formula method
$2 {x}^{2} + 7x - 9 = 0$


solve fast​

Answer 1

Answer:

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Answer 2

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+7−9=0

2x^{2}+7x-9=02x2+7x−9=0

=2

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

=7

b={\color{#e8710a}{7}}b=7

=−9

c={\color{#129eaf}{-9}}c=−9

=−7±72−4⋅2(−9)√2⋅2

x=\frac{-{\color{#e8710a}{7}} \pm \sqrt{{\color{#e8710a}{7}}^{2}-4 \cdot {\color{#c92786}{2}}({\color{#129eaf}{-9}})}}{2 \cdot {\color{#c92786}{2}}}x=2⋅2−7±72−4⋅2(−9)

2

Simplify

Evaluate the exponent

Multiply the numbers

Add the numbers

Evaluate the square root

Multiply the numbers

=−7±114

x=\frac{-7 \pm 11}{4}x=4−7±11

3

Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

=−7+114

x=\frac{-7+11}{4}x=4−7