Question

X = - 4 is a solution of the equation 2x2 + 5x – 12 = 0 . True / False.q​

Answer 1

Answer:

Given:

2x^2+5x-12=02x

2

+5x−12=0

\textbf{To verify:}To verify:

\text{x=-4 is a solution of $2x^2+5x-12=0$}x=-4 is a solution of 2x

2

+5x−12=0

\textbf{Solution:}Solution:

\text{Consider,}Consider,

2x^2+5x-12=02x

2

+5x−12=0

\text{Put x=-4,}Put x=-4,

2(-4)^2+5(-4)-12=02(−4)

2

+5(−4)−12=0

2(16)-20-12=02(16)−20−12=0

32-20-12=032−20−12=0

0=00=0

\therefore\textbf{x=-4 satisfies the equation $\bf\,2x^2+5x-12=0$}∴x=-4 satisfies the equation 2x

2

+5x−12=0

\textbf{Hence x=-4 is a solution of $\bf\,2x^2+5x-12=0$}Hence x=-4 is a solution of 2x

2

+5x−12=0

Step-by-step explanation:

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Answer 2

Answer:

if x=-4 is a solution of 2x²+5x-12

then

put x=-4 and answer will be zero

2×(-4)²+5×-4-12

32-20-12

32-32

=0

so it is a root of given equation

Answer is true