( x=-1/2) and ( x=3/4) are the two real distinct solutions for the quadratic equation, which means that ( x+1/2) and ( x-3/4) are the factors of the quadratic equation. ( (x+1/2)(x-3/4)=0) Expand ( (x+1/2)(x-3/4)) using the FOIL Method. ( x⋅ x...
( x=3) and ( x=6) are the two real distinct solutions for the quadratic equation, which means that ( x-3) and ( x-6) are the factors of the quadratic equation. ( (x-3)(x-6)=0) Expand ( (x-3)(x-6)) using the FOIL Method. ( x⋅ x+x⋅ -6-3x-3⋅ -6=0) ...
Find the quadratic equation whose roots are3±i√52. View Solution Find the quadratic equation whose roots are3+√2,3−√2. View Solution The quadratic equation whose one root is−3+i√74is View Solution Find the differential equation whose solution represents the family :c(y+c)2=x3 ...
The correct Answer is:2x2−6x+7=0 To find the quadratic equation whose roots are given as (3±i√5)/2, we can follow these steps: Step 1: Identify the rootsThe roots are:α=3+i√52,β=3−i√52 Step 2: Calculate the sum of the rootsThe sum of the roots (α+β) can be...
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( x=-(√2)/2) is a doubleroot for the quadratic equation, which means that ( x+(√2)/2) and ( x+(√2)/2) are the factors of the quadratic equation. ( (x+(√2)/2)(x+(√2)/2)=0) Expand ( (x+(√2)/2)(x+(√2)/2)) using the FOIL Method. ( x⋅ x+x((...
According to the problem, coefficients of the required quadratic equation arereal and its one root is -2 + i.We know in a quadratic with real coefficients imaginary roots occur inconjugate pairs).Since equation has rational coefficients, the other root is -2 - iNow, the sum of the roots ...
To find the quadratic equation whose one root is 1−i, we can follow these steps: Step 1: Identify the rootsGiven that one root is 1−i, we can find the second root, which is the complex conjugate of the first root. The complex conjugate of 1−i is 1+i. Step 2: Calculate ...
To find the quadratic equation whose one root is 1−i, we can follow these steps: Step 1: Identify the rootsGiven that one root is 1−i, the second root will be its complex conjugate, which is 1+i. Step 2: Calculate the sum of the rootsThe sum of the roots S can be calculat...
Answer to: Find the solutions to the quadratic equation: x^2 - 13x + 12 = 0 By signing up, you'll get thousands of step-by-step solutions to your...