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cupoosta [38]
2 years ago
8

Which quadratic equation has roots –2 and 1/5?

Mathematics
1 answer:
AysviL [449]2 years ago
4 0

Answer:

The equation 5x^2\:+\:9x\:-\:2\:=\:0 has roots –2 and 1/5.

Hence, the option 'a' is the correct answer.

Step-by-step explanation:

Checking the equation

5x^2\:+\:9x\:-\:2\:=\:0

putting x = -2 in the equation

5\left(-2\right)^2\:+\:9\left(-2\right)-\:2\:=\:0\:

2^2\cdot \:\:5-9\cdot \:\:2-2=0

2^2\cdot \:5-18-2=0

20-20=0

0=0

L.H.S=R.H.S

putting x = 1/5 in the equation

5\left(\frac{1}{5}\right)^2\:+\:9\left(\frac{1}{5}\right)-\:2\:=\:0\:

5\left(\frac{1}{5}\right)^2+9\cdot \:\frac{1}{5}-2=0

\frac{1}{5}+\frac{9}{5}-2=0

2-2=0

0=0

L.H.S=R.H.S

As putting x = -2 and x = 1/5 satisfy the equation.

Therefore, the equation 5x^2\:+\:9x\:-\:2\:=\:0 has roots –2 and 1/5.

Hence, the option 'a' is the correct answer.

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