Question

What error did zacharias make? the –5 should be 5. the 52 should be –52. the 2 in the numerator should be –2. the 2 in the denominator should be –2.

Answer 1

The error made by zacharias in solving the quadratic equation 0 = -2x² + 5x - 3 using quadratic formula is; the 2 in the numerator should be –2.

Quadratic equation

There are four methods of solving quadratic equation. Namely;

• Factorization method
• Completing the square method
• Graphical method
• Formula method

0 = -2x² + 5x - 3

• Using quadratic formula

x = -b ± √b² - 4ac / 2a

where,

• a = -2
• b = 5
• c = -3

x = -b ± √b² - 4ac / 2a

x = -5 ± √5² - 4(-2)(-3) / 2(-2)

= -5 ± √25 - (24) / -2

= -5 ± √1 / -2

= -5/2 ± 1/2

= -5/2 - 1/2 or x = -5/2 + 1/2

= -5-1 / 2 or -5+1/ 2

x = -6/2 or -4/2

x = -3 or -2

Therefore, the solution to the quadratic equation is x = -3 or -2

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