solve the following quadratic equation by using formula method 5xsquare+13x+8= 0
Answers
Answer:
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Step-by-step explanation:
GGG a square is a square is a square is a
Answer:
5x^2 + 13x + 8 = 0. 5×8 = 40
5x^2 + 5x + 8x + 8 = 0. •.• 8×5 = 40, 8+5 =13
5x(x + 1) + 8(x+1) = 0
(x+1) (5x+8) = 0
x+1 = 0. OR 5x+8=0
:. x =-1 OR 5x = - 8
:. x = - 8
5
The above is Factorization.
Comparing eqn with ax^2 + bx + c = 0
a = 5 , b = 13 , c = 8
:. b^2 - 4ac = 13^2 - 4(5)(8)
= 169 - 160
= 9
BY FORMULA METHOD,
Now, x = -b + under root b^2 - 4ac/2a
x = -13 + underroot 9 / 2(5)
x = - 13 + 3 / 10
:. x = -13+3. OR x = -13 - 3
10. 10
:. x = -10 OR x = -16
10. 10
:. x = -1 OR :. x = -8
5
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