6. (2) Determine nature of roots of the quadratic equations.
(i) 2x2 - 5x + 7 = 0
(ii) x2 + 2x - 9 = 0
+
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6. (2) Determine nature of roots of the quadratic equations.
(i) 2x2 - 5x + 7 = 0
(ii) x2 + 2x - 9 = 0
+
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[tex] \large { \underline{ \bf \red{Question:- }}}[/tex]
Determine nature of roots of the quadratic equations:-
(i) 2x2 - 5x + 7 = 0
(ii) x2 + 2x - 9 = 0
[tex] \large { \underline{ \bf \purple{Solution:- }}}[/tex]
[tex] \large { \underline{ \bf \pink{Given:- }}}[/tex]
(i) 2x2 - 5x + 7 = 0
(ii) x2 + 2x - 9 = 0
[tex] \large { \underline{ \bf \green{To Find:- }}}[/tex]
Determine nature of roots of the quadratic equations.
[tex] \large { \underline{ \bf \blue{Let's\:Do:- }}}[/tex]
[tex] \large { \underline{ \bf{Step\:1:- }}}[/tex]
[tex]Compare \: 2x²-5x+2=0 \\ [/tex]
[tex]With \: ax² + bx + c = 0[/tex]
[tex]⟶a=2, b=5, c=7[/tex]
[tex]∴b²-4 ac = (-5)² - 4 × 2 × 7[/tex]
[tex] \large { \underline{ \bf{Step\:2:- }}}[/tex]
[tex]⟶ D = 25 - 56[/tex]
[tex]⟶D = -31[/tex]
[tex]∴b²-4 ac < 0[/tex]
[tex] \large { \underline{ \bf \orange{Therefore:- }}}[/tex]
Answer:
10. TH MAI HUN....
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