If -5 is a root of the quadratic equation and the equation has equal roots. Find the value of x
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CORRECT QUESTION :–
▪︎If -5 is a root of the quadratic equation and the equation has equal roots. Find the value of 'k' –
ANSWER :–
▪︎
EXPLANATION :–
GIVEN :–
• -5 is a root of the quadratic equation
• Equation has equal roots.
TO FIND :–
Value of 'k' .
SOLUTION :–
☞ -5 is a root of the quadratic equation
• So that , x = -5 will satisfy the equation –
=> 2(-5)² + p(-5) -15 = 0
=> 2(25) - 5p - 15 = 0
=> 50 - 15 = 5p
=> 5p = 35
=> p = 7
☞ Equation has equal roots.
• Equation have equal roots .
• Let the roots are a and a
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