4x^2 -11x-3=0
𝑥 = − 𝑏 ± 𝑏 2 − 4 𝑎 𝑐 √ 2 𝑎 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. 4 𝑥 2 − 1 1 𝑥 − 3 = 0 4x^{2}-11x-3=0 4x2−11x−3=0 𝑎 = 4 a={\color{#c92786}{4}} a=4 𝑏 = − 1 1 b={\color{#e8710a}{-11}} b=−11 𝑐 = − 3 c={\color{#129eaf}{-3}} c=−3 𝑥 = − ( − 1 1 ) ± ( − 1 1 ) 2 − 4 ⋅ 4 ( − 3 ) √ 2 ⋅ 4 x=\frac{-({\color{#e8710a}{-11}}) \pm \sqrt{({\color{#e8710a}{-11}})^{2}-4 \cdot {\color{#c92786}{4}}({\color{#129eaf}{-3}})}}{2 \cdot {\color{#c92786}{4}}} x=2⋅4−(−11)±(−11)2−4⋅4(−3) 2 Simplify 3 Separate the equations 4 Solve Solution 𝑥 = 3 𝑥 = − 1 4 x=3\\x=-\frac{1}{4} x=3x=−41 Feedback
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Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.x=3,−1/4
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