Question

Write the roots of the quadratic equation 2x2 + x - 6 = 0.​

Answer 1

Explanation:

2x*2+4x-3x-6=0

2x(x+2)-3(x+2)=0

(2x-3)(x+2)=0

2x-3=0

X=3/2,

X+2=0

X=-2....

Answer 2

$\huge{\purple{\underline{\underline{\bf{\pink{Solution:-}}}}}}$

$\bullet\;\;\underline{\textbf{\textsf{AnswEr:-}}}$

• The roots of the quadratic equation = 3/2 or -2

$\bullet\;\;\underline{\textbf{\textsf{Given:-}}}$

• Quadratic equation = 2x² + x - 6 = 0

$\bullet\;\;\underline{\textbf{\textsf{Need To Find:-}}}$

• The roots of the quadratic equation = ?

$\:\:\:\:\;\:\;\footnotesize\bold{\underline{\underline{\sf{\red{Step\:by\:step\: Explanation:-}}}}}$

$\star\;{\underline{\boxed{\bf{\pink{\;2x^2 + x - 6 = 0\;}}}}}$

$\:\:\:\:\:\:\longrightarrow \sf {2x^2 + 4x - 3x - 6 = 0}$

$\:\:\:\:\:\:\longrightarrow \sf {2x (x + 12) - 3 (x + 12) = 0}$

$\:\:\:\:\:\:\longrightarrow \sf {(2x - 4) (x + 2) = 0}$

$\:\:\:\:\:\:\longrightarrow \sf {x = \dfrac{3}{2} \: or -2}$

$\bullet\;\;\underline{\textbf{\textsf{Therefore:-}}}$

• The roots of the quadratic equation = 3/2 or -2

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