Question

Find the discriminant of the following equation:
$x^2 + 5x - 6 = 0$
​

Answer 1

Step-by-step explanation:

x^2 + 3x - 2x - 6 = 0

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

x = 2 , x = - 3

Answer 2

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Q1) Find the discriminant of the following equation :

✒ x²+5x-6=0 .....given quadratic equation

•To find : discriminant value=?

$\: \large \orange{ \bold{ \underline{ \underline{step \: by \: step \: explaination : }}}}$

$\: \large\boxed { \sf{ \bf{formula : } \: \: \: \sf{ \delta \: = {b}^{2} - 4ac}}}$

• a=1
• b=5
• c=-6

$\qquad \bf{ \bf{ \bullet { \underline{by \: using \: discriminant \: form}}}}$

$\: \qquad \large\implies \displaystyle \sf \: {b}^{2} - 4ac$

$\: \qquad \large \implies \displaystyle \sf \: {(5)}^{2} - 4(1)( - 6)$

$\: \qquad \large \implies \displaystyle \sf \: 25 - ( - 24)$

$\: \qquad \implies \large\displaystyle \sf \: 25 + 24$

$\: \qquad \large \implies \displaystyle \sf \: 49$

$\: \large \underline{ \boxed{ \sf{the \: determinant \: value \: is \: 49}}}$

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