factorise: 1.x²-23x²-14x-12
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Answer:
It does not have any real roots
Step-by-step explanation:
x² - 23x² - 14x - 12
= -22x² - 14x - 12
now using discriminant since the equation is a quadratic equation
b² = (-14)² = 196
4ac = 4 × (-22) × (-12) = 1056
Now,
b² - 4ac = 196 - 1056 = -860
as we know that,
if b² - 4ac > 0 then the equation have two distinct real roots
if b² - 4ac = 0 then the equation have two equal roots
if b² - 4ac < 0 then the equation have no real roots
Our equation satisfies 3rd condition
∴ it does not have any real roots
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