Find the Value of k for Which the Roots Are Real and Equal in (4 − k)x² + (2k + 4)x + (8k + 1) = 0 Find the Value of k for Which the Roots Are Real and Equal Solution Given: $$ (4-k)x^2+(2k+4)x+(8k+1)=0 $$ Here, $$ a=4-k,\quad b=2k+4,\quad c=8k+1 $$ For real and equal […]
Find the Value of k for Which the Roots Are Real and Equal in 5x² − 4x + 2 + k(4x² − 2x − 1) = 0 Find the Value of k for Which the Roots Are Real and Equal Solution Given: $$5x^2-4x+2+k(4x^2-2x-1)=0$$ $$ (5+4k)x^2-(4+2k)x+(2-k)=0 $$ Here, $$a=5+4k,\quad b=-(4+2k),\quad c=2-k$$ For real and equal roots,
Find the Value of k for Which the Roots Are Real and Equal in (k + 1)x² − 2(3k + 1)x + 8k + 1 = 0 Find the Value of k for Which the Roots Are Real and Equal Solution Given: $$ (k+1)x^2-2(3k+1)x+8k+1=0 $$ Here, $$ a=k+1,\quad b=-2(3k+1),\quad c=8k+1 $$ For real and equal
Find the Value of k for Which the Roots Are Real and Equal in x² − 2kx + 7k − 12 = 0 Find the Value of k for Which the Roots Are Real and Equal Solution Given: $$x^2-2kx+7k-12=0$$ Here, $$a=1,\quad b=-2k,\quad c=7k-12$$ For real and equal roots, $$D=b^2-4ac=0$$ $$(-2k)^2-4(1)(7k-12)=0$$ $$4k^2-28k+48=0$$ $$k^2-7k+12=0$$ $$(k-3)(k-4)=0$$ $$k=3 \quad
Find the Value of k for Which the Roots Are Real and Equal in (k + 1)x² + 2(k + 3)x + (k + 8) = 0 Find the Value of k for Which the Roots Are Real and Equal Solution Given: $$ (k+1)x^2+2(k+3)x+(k+8)=0 $$ Here, $$ a=k+1,\quad b=2(k+3),\quad c=k+8 $$ For real and equal
Find the Value of k for Which the Roots Are Real and Equal in kx² + kx + 1 = −4x² − x Find the Value of k for Which the Roots Are Real and Equal Solution Given: $$kx^2+kx+1=-4x^2-x$$ $$ (k+4)x^2+(k+1)x+1=0 $$ Here, $$a=k+4,\quad b=k+1,\quad c=1$$ For real and equal roots, $$D=b^2-4ac=0$$ $$ (k+1)^2-4(k+4)=0 $$
Find the Value of k for Which the Roots Are Real and Equal in (3k + 1)x² + 2(k + 1)x + k = 0 Find the Value of k for Which the Roots Are Real and Equal Solution Given: $$ (3k+1)x^2+2(k+1)x+k=0 $$ Here, $$ a=3k+1,\quad b=2(k+1),\quad c=k $$ For real and equal roots, $$
Find the Value of k for Which the Roots Are Real and Equal in x² − 2(5 + 2k)x + 3(7 + 10k) = 0 Find the Value of k for Which the Roots Are Real and Equal Solution Given: $$x^2-2(5+2k)x+3(7+10k)=0$$ Here, $$a=1,\quad b=-2(5+2k),\quad c=3(7+10k)$$ For real and equal roots, $$D=b^2-4ac=0$$ $$[-2(5+2k)]^2-4(1)\,[3(7+10k)]=0$$ $$4(5+2k)^2-12(7+10k)=0$$ $$(5+2k)^2-3(7+10k)=0$$ $$25+20k+4k^2-21-30k=0$$
Find the Value of k for Which the Roots Are Real and Equal in 4x² − 3kx + 1 = 0 Find the Value of k for Which the Roots Are Real and Equal Solution Given: $$4x^2-3kx+1=0$$ Here, $$a=4,\quad b=-3k,\quad c=1$$ For real and equal roots, $$D=b^2-4ac=0$$ $$(-3k)^2-4(4)(1)=0$$ $$9k^2-16=0$$ $$9k^2=16$$ $$k=\pm\frac{4}{3}$$ Answer The value(s) of
Find the Value of k for Which the Roots Are Real and Equal in 9x² − 24x + k = 0 Find the Value of k for Which the Roots Are Real and Equal Solution Given: $$9x^2-24x+k=0$$ Here, $$a=9,\quad b=-24,\quad c=k$$ For real and equal roots, $$D=b^2-4ac=0$$ $$(-24)^2-4(9)(k)=0$$ $$576-36k=0$$ $$36k=576$$ $$k=16$$ Answer The value of