STCETD-076 ,浮无就/on/omn: blo】千仆之|[
3.3. Given the following equation, choose the correct solution from the values provided.
[ 2x² - 5x = 3 ]
Ans b. 1
**[2x]**
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Engineering theorem
[ 2x² - 5x = 3 ]
**step 1**
:
[ 2x² - 5x - 3 = 0 ]
**step 2**
form
[ 2x² - 5x - 3 = 0 ]
**step 3**
the
[ 5x² - 5x - 3 = 0 ]
**step 4**
quadratic formula, **step 5**{
**step 6**
[ x = frac{-b pm sqrt{b² - 4ac}}{2a} ]
**step 7**
[ x = frac{-(-5) pm sqrt{(-5)² - 4(2)(-3)}}{2(2)} ]
**step 8**
[ x = frac{5 pm sqrt{25 + 24}}{4} ]
**step 9**
[ x = frac{5 pm sqrt{49}}{4} ]
**step 10**
[ x = frac{5 pm 7}{4} ]
**step 11**
[ x = frac{12}{4} quad ext{and} quad x = frac{-2}{4} ]
**step 12**
[ x = 3 quad ext{and} quad x = -1/2 ]
**step 13**
choice b. 1 is correct
2x² – 5x = 3
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2x² - 5x - 3 = 0 \
2x² - 5x - 3 = 0 \
2x² - 5x - 3 = 0 \
2x² - 5x - 3 = 0 \
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PQ U² u - 3 = 0 \
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[ x = frac{5 pm 7}{4} ]
[ x = frac{12}{4} quad ext{and} quad x = frac{-2}{4} ]
[ x = 3 quad ext{and} quad x = -1/2 ]
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22 Nov 2021
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