+379 Let a and b be the solutions of the equation 2x2−10x+5=0. What is the value of (2a−3)(4b−6)?
+1223 Once again, we can use Vieta's equations.
The sum of the roots is −ba=−−102=5.
The product of the roots is ca=52.
Now, we can simplify: (2a−3)(4b−6)=8ab−12(a+b)+18=8(52)−12(5)+18=−22
+1223 Once again, we can use Vieta's equations.
The sum of the roots is −ba=−−102=5.
The product of the roots is ca=52.
Now, we can simplify: (2a−3)(4b−6)=8ab−12(a+b)+18=8(52)−12(5)+18=−22
