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lorasvet [3.4K]
2 years ago
5

Find the error, Rashid and Tia solve the quadratic equation (2x2-8x +10=0) by completing the square. Who is correct? Explain you

r reasoning.
Rashid
2x^2−8x+10=0
2x^2−8x=−10
2x^x−8x+16=−10+16
(x−4)2=6
x−4=±6–√
x=4±6–√

Tia
2x^2−8x+10=0
x^2−4x=0−5
x^2−4x+4=−5+4
(x−2)2=−1
x−2=±i
x=2±i
Mathematics
1 answer:
podryga [215]2 years ago
8 0
To solve a quadratic equation using completing the square method,
STEP 1
Divide through by the coefitient of the squared term.

Looking at the solutions of Rashid and Tia, we notice that Rashid did not divide through by the coefficient of x^2.

Therefore, Rashids solution is wrong.

We solve the equation using completeing the square as follows:
2x^2-8x+10=0 \\  \\ x^2-4x=0-5=-5 \\  \\ x^2-4x+4=-5+4=-1 \\  \\ (x-2)^2=-1 \\  \\ x-2=\pm i \\  \\ x=2\pm i
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