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If ax2+bx+c,a,b,care real, if 2a+3b+6c=0,then roots of the equation lies in the interval is?
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If ax2+bx+c,a,b,care real, if 2a+3b+6c=0,then roots of the equation li...
Interval in which roots lie:
• Given equation: 2a + 3b + 6c = 0
• This implies that the sum of the coefficients of x in the quadratic equation is zero.
• For a quadratic equation ax^2 + bx + c = 0 to have real roots, the discriminant (b^2 - 4ac) must be greater than or equal to zero.
• The discriminant for this equation is b^2 - 4ac = (3^2 - 4*2*6) = 9 - 48 = -39.
• Since the discriminant is negative, the roots of the equation are complex.
• Complex roots always come in conjugate pairs.
• Therefore, the roots of the given equation will lie in the interval where the real part is the same and the imaginary part is of opposite sign.
• The roots will not lie within a specific interval on the real number line but rather in the complex plane.
Thus, the roots of the equation ax^2 + bx + c will be complex and will not lie within a specific interval on the real number line.
• Given equation: 2a + 3b + 6c = 0
• This implies that the sum of the coefficients of x in the quadratic equation is zero.
• For a quadratic equation ax^2 + bx + c = 0 to have real roots, the discriminant (b^2 - 4ac) must be greater than or equal to zero.
• The discriminant for this equation is b^2 - 4ac = (3^2 - 4*2*6) = 9 - 48 = -39.
• Since the discriminant is negative, the roots of the equation are complex.
• Complex roots always come in conjugate pairs.
• Therefore, the roots of the given equation will lie in the interval where the real part is the same and the imaginary part is of opposite sign.
• The roots will not lie within a specific interval on the real number line but rather in the complex plane.
Thus, the roots of the equation ax^2 + bx + c will be complex and will not lie within a specific interval on the real number line.
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If ax2+bx+c,a,b,care real, if 2a+3b+6c=0,then roots of the equation li...
Zero to 1
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If ax2+bx+c,a,b,care real, if 2a+3b+6c=0,then roots of the equation lies in the interval is?
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If ax2+bx+c,a,b,care real, if 2a+3b+6c=0,then roots of the equation lies in the interval is? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If ax2+bx+c,a,b,care real, if 2a+3b+6c=0,then roots of the equation lies in the interval is? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If ax2+bx+c,a,b,care real, if 2a+3b+6c=0,then roots of the equation lies in the interval is?.
If ax2+bx+c,a,b,care real, if 2a+3b+6c=0,then roots of the equation lies in the interval is? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If ax2+bx+c,a,b,care real, if 2a+3b+6c=0,then roots of the equation lies in the interval is? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If ax2+bx+c,a,b,care real, if 2a+3b+6c=0,then roots of the equation lies in the interval is?.
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