two roots of quadratic equation are 10and-10 frame the equation option 1) x²-10x+10=0, 2)x²-10x-10=0, 3)x²-100=0 ,4)x²+100=0
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Answer:
3) is the correct option
x2-100=0
x2=100
x=√100
x=+(or)-10
x=10,x=-10
Step-by-step explanation:
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Quadratic equations are represented in form of x² - Sx + P = 0, where S is sum of roots and P is product of roots.
Here, if 10 and - 10 are roots.
Their sum = 10 + (-10) = 10 - 10 = 0
Their dif. = 10 * (-10) = - 100
Hence the equation is:
→ x^2 - (0)x + (-100) = 0
→ x^2 - 0 - 100 = 0
→ x^2 - 100 = 0
Here, if 10 and - 10 are roots.
Their sum = 10 + (-10) = 10 - 10 = 0
Their dif. = 10 * (-10) = - 100
Hence the equation is:
→ x^2 - (0)x + (-100) = 0
→ x^2 - 0 - 100 = 0
→ x^2 - 100 = 0
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